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Finding the Fourth Proportional to 658.96, 909.10 and 410.20

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Solution

The fourth proportional to 658.96, 909.10 and 410.20 is: 565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.96 : 909.10 = 410.20 : x
  2. Step 2: Convert to fraction form
    658.96/909.10 = 410.20/x
  3. Step 3: Cross multiply
    658.96x = 909.10 × 410.20
  4. Step 4: Simplify right side
    658.96x = 372,912.82
  5. Step 5: Solve for x
    x = 372,912.82/658.96
  6. Step 6: Final answer
    x = 565.91

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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.