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Finding the Fourth Proportional to 688.80, 950.40 and 426.66

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Solution

The fourth proportional to 688.80, 950.40 and 426.66 is: 588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.80 : 950.40 = 426.66 : x
  2. Step 2: Convert to fraction form
    688.80/950.40 = 426.66/x
  3. Step 3: Cross multiply
    688.80x = 950.40 × 426.66
  4. Step 4: Simplify right side
    688.80x = 405,497.66
  5. Step 5: Solve for x
    x = 405,497.66/688.80
  6. Step 6: Final answer
    x = 588.70

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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.