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Finding the Fourth Proportional to 531.92, 792.08 and 525.44

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Solution

The fourth proportional to 531.92, 792.08 and 525.44 is: 782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.92 : 792.08 = 525.44 : x
  2. Step 2: Convert to fraction form
    531.92/792.08 = 525.44/x
  3. Step 3: Cross multiply
    531.92x = 792.08 × 525.44
  4. Step 4: Simplify right side
    531.92x = 416,190.52
  5. Step 5: Solve for x
    x = 416,190.52/531.92
  6. Step 6: Final answer
    x = 782.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.