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Finding the Fourth Proportional to 688.70, 950.33 and 426.66

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Solution

The fourth proportional to 688.70, 950.33 and 426.66 is: 588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.70 : 950.33 = 426.66 : x
  2. Step 2: Convert to fraction form
    688.70/950.33 = 426.66/x
  3. Step 3: Cross multiply
    688.70x = 950.33 × 426.66
  4. Step 4: Simplify right side
    688.70x = 405,467.80
  5. Step 5: Solve for x
    x = 405,467.80/688.70
  6. Step 6: Final answer
    x = 588.74

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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.