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Finding the Fourth Proportional to 511.67, 767.41 and 203.42

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Solution

The fourth proportional to 511.67, 767.41 and 203.42 is: 305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.67 : 767.41 = 203.42 : x
  2. Step 2: Convert to fraction form
    511.67/767.41 = 203.42/x
  3. Step 3: Cross multiply
    511.67x = 767.41 × 203.42
  4. Step 4: Simplify right side
    511.67x = 156,106.54
  5. Step 5: Solve for x
    x = 156,106.54/511.67
  6. Step 6: Final answer
    x = 305.09

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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.