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Finding the Fourth Proportional to 548.30, 821.82 and 274.58

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Solution

The fourth proportional to 548.30, 821.82 and 274.58 is: 411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.30 : 821.82 = 274.58 : x
  2. Step 2: Convert to fraction form
    548.30/821.82 = 274.58/x
  3. Step 3: Cross multiply
    548.30x = 821.82 × 274.58
  4. Step 4: Simplify right side
    548.30x = 225,655.34
  5. Step 5: Solve for x
    x = 225,655.34/548.30
  6. Step 6: Final answer
    x = 411.55

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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.