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Finding the Fourth Proportional to 511.80, 766.34 and 439.14

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Solution

The fourth proportional to 511.80, 766.34 and 439.14 is: 657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.80 : 766.34 = 439.14 : x
  2. Step 2: Convert to fraction form
    511.80/766.34 = 439.14/x
  3. Step 3: Cross multiply
    511.80x = 766.34 × 439.14
  4. Step 4: Simplify right side
    511.80x = 336,530.55
  5. Step 5: Solve for x
    x = 336,530.55/511.80
  6. Step 6: Final answer
    x = 657.54

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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.