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Finding the Fourth Proportional to 706.38, 974.57 and 426.70

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Solution

The fourth proportional to 706.38, 974.57 and 426.70 is: 588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.38 : 974.57 = 426.70 : x
  2. Step 2: Convert to fraction form
    706.38/974.57 = 426.70/x
  3. Step 3: Cross multiply
    706.38x = 974.57 × 426.70
  4. Step 4: Simplify right side
    706.38x = 415,849.02
  5. Step 5: Solve for x
    x = 415,849.02/706.38
  6. Step 6: Final answer
    x = 588.71

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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.