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Finding the Fourth Proportional to 511.41, 766.80 and 202.90

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Solution

The fourth proportional to 511.41, 766.80 and 202.90 is: 304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.41 : 766.80 = 202.90 : x
  2. Step 2: Convert to fraction form
    511.41/766.80 = 202.90/x
  3. Step 3: Cross multiply
    511.41x = 766.80 × 202.90
  4. Step 4: Simplify right side
    511.41x = 155,583.72
  5. Step 5: Solve for x
    x = 155,583.72/511.41
  6. Step 6: Final answer
    x = 304.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.