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Finding the Fourth Proportional to 531.38, 733.25 and 310.30

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Solution

The fourth proportional to 531.38, 733.25 and 310.30 is: 428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.38 : 733.25 = 310.30 : x
  2. Step 2: Convert to fraction form
    531.38/733.25 = 310.30/x
  3. Step 3: Cross multiply
    531.38x = 733.25 × 310.30
  4. Step 4: Simplify right side
    531.38x = 227,526.42
  5. Step 5: Solve for x
    x = 227,526.42/531.38
  6. Step 6: Final answer
    x = 428.18

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Why These Related Problems?

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