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Finding the Fourth Proportional to 706.16, 974.80 and 426.34

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Solution

The fourth proportional to 706.16, 974.80 and 426.34 is: 588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.16 : 974.80 = 426.34 : x
  2. Step 2: Convert to fraction form
    706.16/974.80 = 426.34/x
  3. Step 3: Cross multiply
    706.16x = 974.80 × 426.34
  4. Step 4: Simplify right side
    706.16x = 415,595.24
  5. Step 5: Solve for x
    x = 415,595.24/706.16
  6. Step 6: Final answer
    x = 588.53

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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.