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Finding the Fourth Proportional to 293.90, 440.15 and 232.83

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Solution

The fourth proportional to 293.90, 440.15 and 232.83 is: 348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.90 : 440.15 = 232.83 : x
  2. Step 2: Convert to fraction form
    293.90/440.15 = 232.83/x
  3. Step 3: Cross multiply
    293.90x = 440.15 × 232.83
  4. Step 4: Simplify right side
    293.90x = 102,478.96
  5. Step 5: Solve for x
    x = 102,478.96/293.90
  6. Step 6: Final answer
    x = 348.69

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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.