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Finding the Fourth Proportional to 680.23, 939.12 and 447.76

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Solution

The fourth proportional to 680.23, 939.12 and 447.76 is: 618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.23 : 939.12 = 447.76 : x
  2. Step 2: Convert to fraction form
    680.23/939.12 = 447.76/x
  3. Step 3: Cross multiply
    680.23x = 939.12 × 447.76
  4. Step 4: Simplify right side
    680.23x = 420,498.13
  5. Step 5: Solve for x
    x = 420,498.13/680.23
  6. Step 6: Final answer
    x = 618.17

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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.