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Finding the Fourth Proportional to 394.68, 594.32 and 292.68

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Solution

The fourth proportional to 394.68, 594.32 and 292.68 is: 440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.68 : 594.32 = 292.68 : x
  2. Step 2: Convert to fraction form
    394.68/594.32 = 292.68/x
  3. Step 3: Cross multiply
    394.68x = 594.32 × 292.68
  4. Step 4: Simplify right side
    394.68x = 173,945.58
  5. Step 5: Solve for x
    x = 173,945.58/394.68
  6. Step 6: Final answer
    x = 440.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.