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Finding the Fourth Proportional to 658.10, 908.15 and 363.40

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Solution

The fourth proportional to 658.10, 908.15 and 363.40 is: 501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.10 : 908.15 = 363.40 : x
  2. Step 2: Convert to fraction form
    658.10/908.15 = 363.40/x
  3. Step 3: Cross multiply
    658.10x = 908.15 × 363.40
  4. Step 4: Simplify right side
    658.10x = 330,017.62
  5. Step 5: Solve for x
    x = 330,017.62/658.10
  6. Step 6: Final answer
    x = 501.47

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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.