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Finding the Fourth Proportional to 632.52, 872.99 and 475.94

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Solution

The fourth proportional to 632.52, 872.99 and 475.94 is: 656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.52 : 872.99 = 475.94 : x
  2. Step 2: Convert to fraction form
    632.52/872.99 = 475.94/x
  3. Step 3: Cross multiply
    632.52x = 872.99 × 475.94
  4. Step 4: Simplify right side
    632.52x = 415,490.86
  5. Step 5: Solve for x
    x = 415,490.86/632.52
  6. Step 6: Final answer
    x = 656.88

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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.