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Finding the Fourth Proportional to 718.67, 991.78 and 423.97

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Solution

The fourth proportional to 718.67, 991.78 and 423.97 is: 585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.67 : 991.78 = 423.97 : x
  2. Step 2: Convert to fraction form
    718.67/991.78 = 423.97/x
  3. Step 3: Cross multiply
    718.67x = 991.78 × 423.97
  4. Step 4: Simplify right side
    718.67x = 420,481.43
  5. Step 5: Solve for x
    x = 420,481.43/718.67
  6. Step 6: Final answer
    x = 585.08

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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.