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Finding the Fourth Proportional to 511.26, 767.10 and 251.40

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Solution

The fourth proportional to 511.26, 767.10 and 251.40 is: 377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.26 : 767.10 = 251.40 : x
  2. Step 2: Convert to fraction form
    511.26/767.10 = 251.40/x
  3. Step 3: Cross multiply
    511.26x = 767.10 × 251.40
  4. Step 4: Simplify right side
    511.26x = 192,848.94
  5. Step 5: Solve for x
    x = 192,848.94/511.26
  6. Step 6: Final answer
    x = 377.20

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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.