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Finding the Fourth Proportional to 394.12, 593.37 and 307.92

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Solution

The fourth proportional to 394.12, 593.37 and 307.92 is: 463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.12 : 593.37 = 307.92 : x
  2. Step 2: Convert to fraction form
    394.12/593.37 = 307.92/x
  3. Step 3: Cross multiply
    394.12x = 593.37 × 307.92
  4. Step 4: Simplify right side
    394.12x = 182,710.49
  5. Step 5: Solve for x
    x = 182,710.49/394.12
  6. Step 6: Final answer
    x = 463.59

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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.