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Finding the Fourth Proportional to 658.29, 908.37 and 409.66

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Solution

The fourth proportional to 658.29, 908.37 and 409.66 is: 565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.29 : 908.37 = 409.66 : x
  2. Step 2: Convert to fraction form
    658.29/908.37 = 409.66/x
  3. Step 3: Cross multiply
    658.29x = 908.37 × 409.66
  4. Step 4: Simplify right side
    658.29x = 372,122.85
  5. Step 5: Solve for x
    x = 372,122.85/658.29
  6. Step 6: Final answer
    x = 565.29

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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.