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Finding the Fourth Proportional to 293.79, 439.39 and 261.52

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Solution

The fourth proportional to 293.79, 439.39 and 261.52 is: 391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.79 : 439.39 = 261.52 : x
  2. Step 2: Convert to fraction form
    293.79/439.39 = 261.52/x
  3. Step 3: Cross multiply
    293.79x = 439.39 × 261.52
  4. Step 4: Simplify right side
    293.79x = 114,909.27
  5. Step 5: Solve for x
    x = 114,909.27/293.79
  6. Step 6: Final answer
    x = 391.13

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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.