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Finding the Fourth Proportional to 632.00, 871.97 and 432.66

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Solution

The fourth proportional to 632.00, 871.97 and 432.66 is: 596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.00 : 871.97 = 432.66 : x
  2. Step 2: Convert to fraction form
    632.00/871.97 = 432.66/x
  3. Step 3: Cross multiply
    632.00x = 871.97 × 432.66
  4. Step 4: Simplify right side
    632.00x = 377,267.65
  5. Step 5: Solve for x
    x = 377,267.65/632.00
  6. Step 6: Final answer
    x = 596.94

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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.