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Finding the Fourth Proportional to 658.10, 908.12 and 363.35

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Solution

The fourth proportional to 658.10, 908.12 and 363.35 is: 501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.10 : 908.12 = 363.35 : x
  2. Step 2: Convert to fraction form
    658.10/908.12 = 363.35/x
  3. Step 3: Cross multiply
    658.10x = 908.12 × 363.35
  4. Step 4: Simplify right side
    658.10x = 329,959.04
  5. Step 5: Solve for x
    x = 329,959.04/658.10
  6. Step 6: Final answer
    x = 501.39

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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.