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Finding the Fourth Proportional to 531.60, 800.53 and 463.92

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Solution

The fourth proportional to 531.60, 800.53 and 463.92 is: 698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.60 : 800.53 = 463.92 : x
  2. Step 2: Convert to fraction form
    531.60/800.53 = 463.92/x
  3. Step 3: Cross multiply
    531.60x = 800.53 × 463.92
  4. Step 4: Simplify right side
    531.60x = 371,381.88
  5. Step 5: Solve for x
    x = 371,381.88/531.60
  6. Step 6: Final answer
    x = 698.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.