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Finding the Fourth Proportional to 531.76, 733.84 and 310.71

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Solution

The fourth proportional to 531.76, 733.84 and 310.71 is: 428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.76 : 733.84 = 310.71 : x
  2. Step 2: Convert to fraction form
    531.76/733.84 = 310.71/x
  3. Step 3: Cross multiply
    531.76x = 733.84 × 310.71
  4. Step 4: Simplify right side
    531.76x = 228,007.76
  5. Step 5: Solve for x
    x = 228,007.76/531.76
  6. Step 6: Final answer
    x = 428.78

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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.