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Finding the Fourth Proportional to 658.77, 909.08 and 360.02

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Solution

The fourth proportional to 658.77, 909.08 and 360.02 is: 496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.77 : 909.08 = 360.02 : x
  2. Step 2: Convert to fraction form
    658.77/909.08 = 360.02/x
  3. Step 3: Cross multiply
    658.77x = 909.08 × 360.02
  4. Step 4: Simplify right side
    658.77x = 327,286.98
  5. Step 5: Solve for x
    x = 327,286.98/658.77
  6. Step 6: Final answer
    x = 496.82

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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.