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Finding the Fourth Proportional to 511.30, 766.63 and 202.98

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Solution

The fourth proportional to 511.30, 766.63 and 202.98 is: 304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.30 : 766.63 = 202.98 : x
  2. Step 2: Convert to fraction form
    511.30/766.63 = 202.98/x
  3. Step 3: Cross multiply
    511.30x = 766.63 × 202.98
  4. Step 4: Simplify right side
    511.30x = 155,610.56
  5. Step 5: Solve for x
    x = 155,610.56/511.30
  6. Step 6: Final answer
    x = 304.34

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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.