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Finding the Fourth Proportional to 629.07, 868.12 and 432.54

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Solution

The fourth proportional to 629.07, 868.12 and 432.54 is: 596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.07 : 868.12 = 432.54 : x
  2. Step 2: Convert to fraction form
    629.07/868.12 = 432.54/x
  3. Step 3: Cross multiply
    629.07x = 868.12 × 432.54
  4. Step 4: Simplify right side
    629.07x = 375,495.54
  5. Step 5: Solve for x
    x = 375,495.54/629.07
  6. Step 6: Final answer
    x = 596.91

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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.