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Finding the Fourth Proportional to 629.52, 868.74 and 432.69

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Solution

The fourth proportional to 629.52, 868.74 and 432.69 is: 597.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.52 : 868.74 = 432.69 : x
  2. Step 2: Convert to fraction form
    629.52/868.74 = 432.69/x
  3. Step 3: Cross multiply
    629.52x = 868.74 × 432.69
  4. Step 4: Simplify right side
    629.52x = 375,895.11
  5. Step 5: Solve for x
    x = 375,895.11/629.52
  6. Step 6: Final answer
    x = 597.11

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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.