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Finding the Fourth Proportional to 658.91, 908.82 and 410.35

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Solution

The fourth proportional to 658.91, 908.82 and 410.35 is: 565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.91 : 908.82 = 410.35 : x
  2. Step 2: Convert to fraction form
    658.91/908.82 = 410.35/x
  3. Step 3: Cross multiply
    658.91x = 908.82 × 410.35
  4. Step 4: Simplify right side
    658.91x = 372,932.01
  5. Step 5: Solve for x
    x = 372,932.01/658.91
  6. Step 6: Final answer
    x = 565.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.