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Finding the Fourth Proportional to 658.53, 909.63 and 559.31

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Solution

The fourth proportional to 658.53, 909.63 and 559.31 is: 772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.53 : 909.63 = 559.31 : x
  2. Step 2: Convert to fraction form
    658.53/909.63 = 559.31/x
  3. Step 3: Cross multiply
    658.53x = 909.63 × 559.31
  4. Step 4: Simplify right side
    658.53x = 508,760.61
  5. Step 5: Solve for x
    x = 508,760.61/658.53
  6. Step 6: Final answer
    x = 772.57

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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.