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Finding the Fourth Proportional to 658.60, 908.76 and 410.20

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Solution

The fourth proportional to 658.60, 908.76 and 410.20 is: 566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.60 : 908.76 = 410.20 : x
  2. Step 2: Convert to fraction form
    658.60/908.76 = 410.20/x
  3. Step 3: Cross multiply
    658.60x = 908.76 × 410.20
  4. Step 4: Simplify right side
    658.60x = 372,773.35
  5. Step 5: Solve for x
    x = 372,773.35/658.60
  6. Step 6: Final answer
    x = 566.01

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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.