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Finding the Fourth Proportional to 778.28, 1,167.24 and 258.15

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Solution

The fourth proportional to 778.28, 1,167.24 and 258.15 is: 387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.28 : 1,167.24 = 258.15 : x
  2. Step 2: Convert to fraction form
    778.28/1,167.24 = 258.15/x
  3. Step 3: Cross multiply
    778.28x = 1,167.24 × 258.15
  4. Step 4: Simplify right side
    778.28x = 301,323.01
  5. Step 5: Solve for x
    x = 301,323.01/778.28
  6. Step 6: Final answer
    x = 387.17

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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.