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Finding the Fourth Proportional to 531.35, 733.24 and 310.27

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Solution

The fourth proportional to 531.35, 733.24 and 310.27 is: 428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.35 : 733.24 = 310.27 : x
  2. Step 2: Convert to fraction form
    531.35/733.24 = 310.27/x
  3. Step 3: Cross multiply
    531.35x = 733.24 × 310.27
  4. Step 4: Simplify right side
    531.35x = 227,502.37
  5. Step 5: Solve for x
    x = 227,502.37/531.35
  6. Step 6: Final answer
    x = 428.16

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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.