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Finding the Fourth Proportional to 547.65, 821.50 and 273.92

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Solution

The fourth proportional to 547.65, 821.50 and 273.92 is: 410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.65 : 821.50 = 273.92 : x
  2. Step 2: Convert to fraction form
    547.65/821.50 = 273.92/x
  3. Step 3: Cross multiply
    547.65x = 821.50 × 273.92
  4. Step 4: Simplify right side
    547.65x = 225,020.49
  5. Step 5: Solve for x
    x = 225,020.49/547.65
  6. Step 6: Final answer
    x = 410.88

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Double scale
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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.