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Finding the Fourth Proportional to 688.32, 950.16 and 426.48

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Solution

The fourth proportional to 688.32, 950.16 and 426.48 is: 588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.32 : 950.16 = 426.48 : x
  2. Step 2: Convert to fraction form
    688.32/950.16 = 426.48/x
  3. Step 3: Cross multiply
    688.32x = 950.16 × 426.48
  4. Step 4: Simplify right side
    688.32x = 405,224.24
  5. Step 5: Solve for x
    x = 405,224.24/688.32
  6. Step 6: Final answer
    x = 588.71

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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.