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Finding the Fourth Proportional to 531.24, 733.02 and 310.20

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Solution

The fourth proportional to 531.24, 733.02 and 310.20 is: 428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.24 : 733.02 = 310.20 : x
  2. Step 2: Convert to fraction form
    531.24/733.02 = 310.20/x
  3. Step 3: Cross multiply
    531.24x = 733.02 × 310.20
  4. Step 4: Simplify right side
    531.24x = 227,382.80
  5. Step 5: Solve for x
    x = 227,382.80/531.24
  6. Step 6: Final answer
    x = 428.02

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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.