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Finding the Fourth Proportional to 658.42, 908.63 and 363.71

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Solution

The fourth proportional to 658.42, 908.63 and 363.71 is: 501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.42 : 908.63 = 363.71 : x
  2. Step 2: Convert to fraction form
    658.42/908.63 = 363.71/x
  3. Step 3: Cross multiply
    658.42x = 908.63 × 363.71
  4. Step 4: Simplify right side
    658.42x = 330,477.82
  5. Step 5: Solve for x
    x = 330,477.82/658.42
  6. Step 6: Final answer
    x = 501.93

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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.