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Finding the Fourth Proportional to 658.18, 908.40 and 629.02

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Solution

The fourth proportional to 658.18, 908.40 and 629.02 is: 868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.18 : 908.40 = 629.02 : x
  2. Step 2: Convert to fraction form
    658.18/908.40 = 629.02/x
  3. Step 3: Cross multiply
    658.18x = 908.40 × 629.02
  4. Step 4: Simplify right side
    658.18x = 571,401.77
  5. Step 5: Solve for x
    x = 571,401.77/658.18
  6. Step 6: Final answer
    x = 868.15

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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.