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Finding the Fourth Proportional to 718.58, 991.82 and 423.95

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Solution

The fourth proportional to 718.58, 991.82 and 423.95 is: 585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.58 : 991.82 = 423.95 : x
  2. Step 2: Convert to fraction form
    718.58/991.82 = 423.95/x
  3. Step 3: Cross multiply
    718.58x = 991.82 × 423.95
  4. Step 4: Simplify right side
    718.58x = 420,478.19
  5. Step 5: Solve for x
    x = 420,478.19/718.58
  6. Step 6: Final answer
    x = 585.15

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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.