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Finding the Fourth Proportional to 778.40, 1,167.64 and 309.97

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Solution

The fourth proportional to 778.40, 1,167.64 and 309.97 is: 464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.40 : 1,167.64 = 309.97 : x
  2. Step 2: Convert to fraction form
    778.40/1,167.64 = 309.97/x
  3. Step 3: Cross multiply
    778.40x = 1,167.64 × 309.97
  4. Step 4: Simplify right side
    778.40x = 361,927.49
  5. Step 5: Solve for x
    x = 361,927.49/778.40
  6. Step 6: Final answer
    x = 464.96

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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.