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Finding the Fourth Proportional to 658.36, 908.58 and 425.80

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Solution

The fourth proportional to 658.36, 908.58 and 425.80 is: 587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.36 : 908.58 = 425.80 : x
  2. Step 2: Convert to fraction form
    658.36/908.58 = 425.80/x
  3. Step 3: Cross multiply
    658.36x = 908.58 × 425.80
  4. Step 4: Simplify right side
    658.36x = 386,873.36
  5. Step 5: Solve for x
    x = 386,873.36/658.36
  6. Step 6: Final answer
    x = 587.63

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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.