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Finding the Fourth Proportional to 511.57, 767.35 and 169.57

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Solution

The fourth proportional to 511.57, 767.35 and 169.57 is: 254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.57 : 767.35 = 169.57 : x
  2. Step 2: Convert to fraction form
    511.57/767.35 = 169.57/x
  3. Step 3: Cross multiply
    511.57x = 767.35 × 169.57
  4. Step 4: Simplify right side
    511.57x = 130,115.70
  5. Step 5: Solve for x
    x = 130,115.70/511.57
  6. Step 6: Final answer
    x = 254.35

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