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Finding the Fourth Proportional to 778.20, 1,167.32 and 258.20

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Solution

The fourth proportional to 778.20, 1,167.32 and 258.20 is: 387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.20 : 1,167.32 = 258.20 : x
  2. Step 2: Convert to fraction form
    778.20/1,167.32 = 258.20/x
  3. Step 3: Cross multiply
    778.20x = 1,167.32 × 258.20
  4. Step 4: Simplify right side
    778.20x = 301,402.02
  5. Step 5: Solve for x
    x = 301,402.02/778.20
  6. Step 6: Final answer
    x = 387.31

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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.