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Finding the Fourth Proportional to 531.80, 733.02 and 415.16

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Solution

The fourth proportional to 531.80, 733.02 and 415.16 is: 572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.80 : 733.02 = 415.16 : x
  2. Step 2: Convert to fraction form
    531.80/733.02 = 415.16/x
  3. Step 3: Cross multiply
    531.80x = 733.02 × 415.16
  4. Step 4: Simplify right side
    531.80x = 304,320.58
  5. Step 5: Solve for x
    x = 304,320.58/531.80
  6. Step 6: Final answer
    x = 572.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.