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Finding the Fourth Proportional to 511.80, 767.78 and 203.69

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Solution

The fourth proportional to 511.80, 767.78 and 203.69 is: 305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.80 : 767.78 = 203.69 : x
  2. Step 2: Convert to fraction form
    511.80/767.78 = 203.69/x
  3. Step 3: Cross multiply
    511.80x = 767.78 × 203.69
  4. Step 4: Simplify right side
    511.80x = 156,387.13
  5. Step 5: Solve for x
    x = 156,387.13/511.80
  6. Step 6: Final answer
    x = 305.56

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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.