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Finding the Fourth Proportional to 688.23, 949.84 and 426.25

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Solution

The fourth proportional to 688.23, 949.84 and 426.25 is: 588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.23 : 949.84 = 426.25 : x
  2. Step 2: Convert to fraction form
    688.23/949.84 = 426.25/x
  3. Step 3: Cross multiply
    688.23x = 949.84 × 426.25
  4. Step 4: Simplify right side
    688.23x = 404,869.30
  5. Step 5: Solve for x
    x = 404,869.30/688.23
  6. Step 6: Final answer
    x = 588.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.