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Finding the Fourth Proportional to 658.91, 909.34 and 364.18

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Solution

The fourth proportional to 658.91, 909.34 and 364.18 is: 502.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.91 : 909.34 = 364.18 : x
  2. Step 2: Convert to fraction form
    658.91/909.34 = 364.18/x
  3. Step 3: Cross multiply
    658.91x = 909.34 × 364.18
  4. Step 4: Simplify right side
    658.91x = 331,163.44
  5. Step 5: Solve for x
    x = 331,163.44/658.91
  6. Step 6: Final answer
    x = 502.59

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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.