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Finding the Fourth Proportional to 527.31, 727.45 and 416.61

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Solution

The fourth proportional to 527.31, 727.45 and 416.61 is: 574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.31 : 727.45 = 416.61 : x
  2. Step 2: Convert to fraction form
    527.31/727.45 = 416.61/x
  3. Step 3: Cross multiply
    527.31x = 727.45 × 416.61
  4. Step 4: Simplify right side
    527.31x = 303,061.90
  5. Step 5: Solve for x
    x = 303,061.90/527.31
  6. Step 6: Final answer
    x = 574.73

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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.