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Finding the Fourth Proportional to 511.70, 767.34 and 268.43

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Solution

The fourth proportional to 511.70, 767.34 and 268.43 is: 402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.70 : 767.34 = 268.43 : x
  2. Step 2: Convert to fraction form
    511.70/767.34 = 268.43/x
  3. Step 3: Cross multiply
    511.70x = 767.34 × 268.43
  4. Step 4: Simplify right side
    511.70x = 205,973.24
  5. Step 5: Solve for x
    x = 205,973.24/511.70
  6. Step 6: Final answer
    x = 402.53

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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.