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Finding the Fourth Proportional to 475.62, 656.17 and 416.59

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Solution

The fourth proportional to 475.62, 656.17 and 416.59 is: 574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.62 : 656.17 = 416.59 : x
  2. Step 2: Convert to fraction form
    475.62/656.17 = 416.59/x
  3. Step 3: Cross multiply
    475.62x = 656.17 × 416.59
  4. Step 4: Simplify right side
    475.62x = 273,353.86
  5. Step 5: Solve for x
    x = 273,353.86/475.62
  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.