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Finding the Fourth Proportional to 658.92, 909.24 and 364.14

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Solution

The fourth proportional to 658.92, 909.24 and 364.14 is: 502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.92 : 909.24 = 364.14 : x
  2. Step 2: Convert to fraction form
    658.92/909.24 = 364.14/x
  3. Step 3: Cross multiply
    658.92x = 909.24 × 364.14
  4. Step 4: Simplify right side
    658.92x = 331,090.65
  5. Step 5: Solve for x
    x = 331,090.65/658.92
  6. Step 6: Final answer
    x = 502.47

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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.