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Finding the Fourth Proportional to 394.96, 592.40 and 106.42

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Solution

The fourth proportional to 394.96, 592.40 and 106.42 is: 159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.96 : 592.40 = 106.42 : x
  2. Step 2: Convert to fraction form
    394.96/592.40 = 106.42/x
  3. Step 3: Cross multiply
    394.96x = 592.40 × 106.42
  4. Step 4: Simplify right side
    394.96x = 63,043.21
  5. Step 5: Solve for x
    x = 63,043.21/394.96
  6. Step 6: Final answer
    x = 159.62

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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.