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Finding the Fourth Proportional to 527.75, 725.87 and 462.14

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Solution

The fourth proportional to 527.75, 725.87 and 462.14 is: 635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.75 : 725.87 = 462.14 : x
  2. Step 2: Convert to fraction form
    527.75/725.87 = 462.14/x
  3. Step 3: Cross multiply
    527.75x = 725.87 × 462.14
  4. Step 4: Simplify right side
    527.75x = 335,451.25
  5. Step 5: Solve for x
    x = 335,451.25/527.75
  6. Step 6: Final answer
    x = 635.63

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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.