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Finding the Fourth Proportional to 395.82, 592.92 and 293.22

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Solution

The fourth proportional to 395.82, 592.92 and 293.22 is: 439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.82 : 592.92 = 293.22 : x
  2. Step 2: Convert to fraction form
    395.82/592.92 = 293.22/x
  3. Step 3: Cross multiply
    395.82x = 592.92 × 293.22
  4. Step 4: Simplify right side
    395.82x = 173,856.00
  5. Step 5: Solve for x
    x = 173,856.00/395.82
  6. Step 6: Final answer
    x = 439.23

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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.