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Finding the Fourth Proportional to 511.60, 767.14 and 251.62

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Solution

The fourth proportional to 511.60, 767.14 and 251.62 is: 377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.60 : 767.14 = 251.62 : x
  2. Step 2: Convert to fraction form
    511.60/767.14 = 251.62/x
  3. Step 3: Cross multiply
    511.60x = 767.14 × 251.62
  4. Step 4: Simplify right side
    511.60x = 193,027.77
  5. Step 5: Solve for x
    x = 193,027.77/511.60
  6. Step 6: Final answer
    x = 377.30

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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.