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Finding the Fourth Proportional to 658.86, 909.20 and 364.14

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Solution

The fourth proportional to 658.86, 909.20 and 364.14 is: 502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.86 : 909.20 = 364.14 : x
  2. Step 2: Convert to fraction form
    658.86/909.20 = 364.14/x
  3. Step 3: Cross multiply
    658.86x = 909.20 × 364.14
  4. Step 4: Simplify right side
    658.86x = 331,076.09
  5. Step 5: Solve for x
    x = 331,076.09/658.86
  6. Step 6: Final answer
    x = 502.50

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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.