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Finding the Fourth Proportional to 658.91, 909.28 and 364.16

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Solution

The fourth proportional to 658.91, 909.28 and 364.16 is: 502.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.91 : 909.28 = 364.16 : x
  2. Step 2: Convert to fraction form
    658.91/909.28 = 364.16/x
  3. Step 3: Cross multiply
    658.91x = 909.28 × 364.16
  4. Step 4: Simplify right side
    658.91x = 331,124.77
  5. Step 5: Solve for x
    x = 331,124.77/658.91
  6. Step 6: Final answer
    x = 502.53

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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.