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Finding the Fourth Proportional to 394.82, 592.38 and 349.56

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Solution

The fourth proportional to 394.82, 592.38 and 349.56 is: 524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.82 : 592.38 = 349.56 : x
  2. Step 2: Convert to fraction form
    394.82/592.38 = 349.56/x
  3. Step 3: Cross multiply
    394.82x = 592.38 × 349.56
  4. Step 4: Simplify right side
    394.82x = 207,073.66
  5. Step 5: Solve for x
    x = 207,073.66/394.82
  6. Step 6: Final answer
    x = 524.47

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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.