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Finding the Fourth Proportional to 658.46, 909.11 and 410.15

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Solution

The fourth proportional to 658.46, 909.11 and 410.15 is: 566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.46 : 909.11 = 410.15 : x
  2. Step 2: Convert to fraction form
    658.46/909.11 = 410.15/x
  3. Step 3: Cross multiply
    658.46x = 909.11 × 410.15
  4. Step 4: Simplify right side
    658.46x = 372,871.47
  5. Step 5: Solve for x
    x = 372,871.47/658.46
  6. Step 6: Final answer
    x = 566.28

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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.