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Finding the Fourth Proportional to 658.97, 908.85 and 409.82

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Solution

The fourth proportional to 658.97, 908.85 and 409.82 is: 565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.97 : 908.85 = 409.82 : x
  2. Step 2: Convert to fraction form
    658.97/908.85 = 409.82/x
  3. Step 3: Cross multiply
    658.97x = 908.85 × 409.82
  4. Step 4: Simplify right side
    658.97x = 372,467.18
  5. Step 5: Solve for x
    x = 372,467.18/658.97
  6. Step 6: Final answer
    x = 565.22

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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.