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Finding the Fourth Proportional to 778.46, 1,167.26 and 339.53

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Solution

The fourth proportional to 778.46, 1,167.26 and 339.53 is: 509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.46 : 1,167.26 = 339.53 : x
  2. Step 2: Convert to fraction form
    778.46/1,167.26 = 339.53/x
  3. Step 3: Cross multiply
    778.46x = 1,167.26 × 339.53
  4. Step 4: Simplify right side
    778.46x = 396,312.25
  5. Step 5: Solve for x
    x = 396,312.25/778.46
  6. Step 6: Final answer
    x = 509.10

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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.