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Finding the Fourth Proportional to 658.71, 909.09 and 410.13

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Solution

The fourth proportional to 658.71, 909.09 and 410.13 is: 566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.71 : 909.09 = 410.13 : x
  2. Step 2: Convert to fraction form
    658.71/909.09 = 410.13/x
  3. Step 3: Cross multiply
    658.71x = 909.09 × 410.13
  4. Step 4: Simplify right side
    658.71x = 372,845.08
  5. Step 5: Solve for x
    x = 372,845.08/658.71
  6. Step 6: Final answer
    x = 566.02

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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.