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Finding the Fourth Proportional to 706.48, 974.58 and 426.56

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Solution

The fourth proportional to 706.48, 974.58 and 426.56 is: 588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.48 : 974.58 = 426.56 : x
  2. Step 2: Convert to fraction form
    706.48/974.58 = 426.56/x
  3. Step 3: Cross multiply
    706.48x = 974.58 × 426.56
  4. Step 4: Simplify right side
    706.48x = 415,716.84
  5. Step 5: Solve for x
    x = 415,716.84/706.48
  6. Step 6: Final answer
    x = 588.43

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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.