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Finding the Fourth Proportional to 511.29, 766.29 and 293.79

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Solution

The fourth proportional to 511.29, 766.29 and 293.79 is: 440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.29 : 766.29 = 293.79 : x
  2. Step 2: Convert to fraction form
    511.29/766.29 = 293.79/x
  3. Step 3: Cross multiply
    511.29x = 766.29 × 293.79
  4. Step 4: Simplify right side
    511.29x = 225,128.34
  5. Step 5: Solve for x
    x = 225,128.34/511.29
  6. Step 6: Final answer
    x = 440.31

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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.