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Finding the Fourth Proportional to 632.80, 871.32 and 475.66

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Solution

The fourth proportional to 632.80, 871.32 and 475.66 is: 654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.80 : 871.32 = 475.66 : x
  2. Step 2: Convert to fraction form
    632.80/871.32 = 475.66/x
  3. Step 3: Cross multiply
    632.80x = 871.32 × 475.66
  4. Step 4: Simplify right side
    632.80x = 414,452.07
  5. Step 5: Solve for x
    x = 414,452.07/632.80
  6. Step 6: Final answer
    x = 654.95

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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.