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Finding the Fourth Proportional to 658.56, 908.10 and 584.85

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Solution

The fourth proportional to 658.56, 908.10 and 584.85 is: 806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.56 : 908.10 = 584.85 : x
  2. Step 2: Convert to fraction form
    658.56/908.10 = 584.85/x
  3. Step 3: Cross multiply
    658.56x = 908.10 × 584.85
  4. Step 4: Simplify right side
    658.56x = 531,102.29
  5. Step 5: Solve for x
    x = 531,102.29/658.56
  6. Step 6: Final answer
    x = 806.46

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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.