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Finding the Fourth Proportional to 531.25, 733.11 and 310.18

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Solution

The fourth proportional to 531.25, 733.11 and 310.18 is: 428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.25 : 733.11 = 310.18 : x
  2. Step 2: Convert to fraction form
    531.25/733.11 = 310.18/x
  3. Step 3: Cross multiply
    531.25x = 733.11 × 310.18
  4. Step 4: Simplify right side
    531.25x = 227,396.06
  5. Step 5: Solve for x
    x = 227,396.06/531.25
  6. Step 6: Final answer
    x = 428.04

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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.