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Finding the Fourth Proportional to 547.82, 821.58 and 273.71

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Solution

The fourth proportional to 547.82, 821.58 and 273.71 is: 410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.82 : 821.58 = 273.71 : x
  2. Step 2: Convert to fraction form
    547.82/821.58 = 273.71/x
  3. Step 3: Cross multiply
    547.82x = 821.58 × 273.71
  4. Step 4: Simplify right side
    547.82x = 224,870.55
  5. Step 5: Solve for x
    x = 224,870.55/547.82
  6. Step 6: Final answer
    x = 410.49

Related Problems

Find fourth proportional to 273.91, 410.79 and 136.85
Half scale
Find fourth proportional to 1,095.63, 1,643.16 and 547.41
Double scale
Find fourth proportional to 548.82, 823.08 and 274.71
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.