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Finding the Fourth Proportional to 531.28, 733.17 and 310.24

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Solution

The fourth proportional to 531.28, 733.17 and 310.24 is: 428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.28 : 733.17 = 310.24 : x
  2. Step 2: Convert to fraction form
    531.28/733.17 = 310.24/x
  3. Step 3: Cross multiply
    531.28x = 733.17 × 310.24
  4. Step 4: Simplify right side
    531.28x = 227,460.74
  5. Step 5: Solve for x
    x = 227,460.74/531.28
  6. Step 6: Final answer
    x = 428.14

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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.