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Finding the Fourth Proportional to 518.68, 773.40 and 463.96

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Solution

The fourth proportional to 518.68, 773.40 and 463.96 is: 691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.68 : 773.40 = 463.96 : x
  2. Step 2: Convert to fraction form
    518.68/773.40 = 463.96/x
  3. Step 3: Cross multiply
    518.68x = 773.40 × 463.96
  4. Step 4: Simplify right side
    518.68x = 358,826.66
  5. Step 5: Solve for x
    x = 358,826.66/518.68
  6. Step 6: Final answer
    x = 691.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.