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Finding the Fourth Proportional to 518.54, 778.28 and 463.62

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Solution

The fourth proportional to 518.54, 778.28 and 463.62 is: 695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.54 : 778.28 = 463.62 : x
  2. Step 2: Convert to fraction form
    518.54/778.28 = 463.62/x
  3. Step 3: Cross multiply
    518.54x = 778.28 × 463.62
  4. Step 4: Simplify right side
    518.54x = 360,826.17
  5. Step 5: Solve for x
    x = 360,826.17/518.54
  6. Step 6: Final answer
    x = 695.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.