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Finding the Fourth Proportional to 511.06, 766.89 and 202.95

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Solution

The fourth proportional to 511.06, 766.89 and 202.95 is: 304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.06 : 766.89 = 202.95 : x
  2. Step 2: Convert to fraction form
    511.06/766.89 = 202.95/x
  3. Step 3: Cross multiply
    511.06x = 766.89 × 202.95
  4. Step 4: Simplify right side
    511.06x = 155,635.98
  5. Step 5: Solve for x
    x = 155,635.98/511.06
  6. Step 6: Final answer
    x = 304.54

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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.