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Finding the Fourth Proportional to 658.77, 909.12 and 425.89

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Solution

The fourth proportional to 658.77, 909.12 and 425.89 is: 587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.77 : 909.12 = 425.89 : x
  2. Step 2: Convert to fraction form
    658.77/909.12 = 425.89/x
  3. Step 3: Cross multiply
    658.77x = 909.12 × 425.89
  4. Step 4: Simplify right side
    658.77x = 387,185.12
  5. Step 5: Solve for x
    x = 387,185.12/658.77
  6. Step 6: Final answer
    x = 587.74

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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.