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Finding the Fourth Proportional to 511.98, 767.96 and 252.10

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Solution

The fourth proportional to 511.98, 767.96 and 252.10 is: 378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.98 : 767.96 = 252.10 : x
  2. Step 2: Convert to fraction form
    511.98/767.96 = 252.10/x
  3. Step 3: Cross multiply
    511.98x = 767.96 × 252.10
  4. Step 4: Simplify right side
    511.98x = 193,602.72
  5. Step 5: Solve for x
    x = 193,602.72/511.98
  6. Step 6: Final answer
    x = 378.15

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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.