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Finding the Fourth Proportional to 658.18, 908.28 and 363.47

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Solution

The fourth proportional to 658.18, 908.28 and 363.47 is: 501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.18 : 908.28 = 363.47 : x
  2. Step 2: Convert to fraction form
    658.18/908.28 = 363.47/x
  3. Step 3: Cross multiply
    658.18x = 908.28 × 363.47
  4. Step 4: Simplify right side
    658.18x = 330,127.99
  5. Step 5: Solve for x
    x = 330,127.99/658.18
  6. Step 6: Final answer
    x = 501.58

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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.