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Finding the Fourth Proportional to 527.76, 723.24 and 475.92

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Solution

The fourth proportional to 527.76, 723.24 and 475.92 is: 652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.76 : 723.24 = 475.92 : x
  2. Step 2: Convert to fraction form
    527.76/723.24 = 475.92/x
  3. Step 3: Cross multiply
    527.76x = 723.24 × 475.92
  4. Step 4: Simplify right side
    527.76x = 344,204.38
  5. Step 5: Solve for x
    x = 344,204.38/527.76
  6. Step 6: Final answer
    x = 652.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.