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Finding the Fourth Proportional to 547.43, 820.13 and 502.33

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Solution

The fourth proportional to 547.43, 820.13 and 502.33 is: 752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.43 : 820.13 = 502.33 : x
  2. Step 2: Convert to fraction form
    547.43/820.13 = 502.33/x
  3. Step 3: Cross multiply
    547.43x = 820.13 × 502.33
  4. Step 4: Simplify right side
    547.43x = 411,970.57
  5. Step 5: Solve for x
    x = 411,970.57/547.43
  6. Step 6: Final answer
    x = 752.55

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