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Finding the Fourth Proportional to 718.49, 991.35 and 423.78

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Solution

The fourth proportional to 718.49, 991.35 and 423.78 is: 584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.49 : 991.35 = 423.78 : x
  2. Step 2: Convert to fraction form
    718.49/991.35 = 423.78/x
  3. Step 3: Cross multiply
    718.49x = 991.35 × 423.78
  4. Step 4: Simplify right side
    718.49x = 420,110.59
  5. Step 5: Solve for x
    x = 420,110.59/718.49
  6. Step 6: Final answer
    x = 584.71

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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.