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Finding the Fourth Proportional to 394.07, 593.39 and 292.08

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Solution

The fourth proportional to 394.07, 593.39 and 292.08 is: 439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.07 : 593.39 = 292.08 : x
  2. Step 2: Convert to fraction form
    394.07/593.39 = 292.08/x
  3. Step 3: Cross multiply
    394.07x = 593.39 × 292.08
  4. Step 4: Simplify right side
    394.07x = 173,314.38
  5. Step 5: Solve for x
    x = 173,314.38/394.07
  6. Step 6: Final answer
    x = 439.81

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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.