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Finding the Fourth Proportional to 658.66, 909 and 363.93

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Solution

The fourth proportional to 658.66, 909 and 363.93 is: 502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.66 : 909 = 363.93 : x
  2. Step 2: Convert to fraction form
    658.66/909 = 363.93/x
  3. Step 3: Cross multiply
    658.66x = 909 × 363.93
  4. Step 4: Simplify right side
    658.66x = 330,812.37
  5. Step 5: Solve for x
    x = 330,812.37/658.66
  6. Step 6: Final answer
    x = 502.25

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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.