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Finding the Fourth Proportional to 511.07, 766.10 and 202.82

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Solution

The fourth proportional to 511.07, 766.10 and 202.82 is: 304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.07 : 766.10 = 202.82 : x
  2. Step 2: Convert to fraction form
    511.07/766.10 = 202.82/x
  3. Step 3: Cross multiply
    511.07x = 766.10 × 202.82
  4. Step 4: Simplify right side
    511.07x = 155,375.56
  5. Step 5: Solve for x
    x = 155,375.56/511.07
  6. Step 6: Final answer
    x = 304.02

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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.