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Finding the Fourth Proportional to 658.15, 908.08 and 445.85

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Solution

The fourth proportional to 658.15, 908.08 and 445.85 is: 615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.15 : 908.08 = 445.85 : x
  2. Step 2: Convert to fraction form
    658.15/908.08 = 445.85/x
  3. Step 3: Cross multiply
    658.15x = 908.08 × 445.85
  4. Step 4: Simplify right side
    658.15x = 404,869.74
  5. Step 5: Solve for x
    x = 404,869.74/658.15
  6. Step 6: Final answer
    x = 615.17

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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.