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Finding the Fourth Proportional to 658.92, 905.24 and 589.88

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Solution

The fourth proportional to 658.92, 905.24 and 589.88 is: 810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.92 : 905.24 = 589.88 : x
  2. Step 2: Convert to fraction form
    658.92/905.24 = 589.88/x
  3. Step 3: Cross multiply
    658.92x = 905.24 × 589.88
  4. Step 4: Simplify right side
    658.92x = 533,982.97
  5. Step 5: Solve for x
    x = 533,982.97/658.92
  6. Step 6: Final answer
    x = 810.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.