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Finding the Fourth Proportional to 718.69, 991.45 and 423.76

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Solution

The fourth proportional to 718.69, 991.45 and 423.76 is: 584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.69 : 991.45 = 423.76 : x
  2. Step 2: Convert to fraction form
    718.69/991.45 = 423.76/x
  3. Step 3: Cross multiply
    718.69x = 991.45 × 423.76
  4. Step 4: Simplify right side
    718.69x = 420,136.85
  5. Step 5: Solve for x
    x = 420,136.85/718.69
  6. Step 6: Final answer
    x = 584.59

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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.