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Finding the Fourth Proportional to 379.14, 568.35 and 232.98

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Solution

The fourth proportional to 379.14, 568.35 and 232.98 is: 349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.14 : 568.35 = 232.98 : x
  2. Step 2: Convert to fraction form
    379.14/568.35 = 232.98/x
  3. Step 3: Cross multiply
    379.14x = 568.35 × 232.98
  4. Step 4: Simplify right side
    379.14x = 132,414.18
  5. Step 5: Solve for x
    x = 132,414.18/379.14
  6. Step 6: Final answer
    x = 349.25

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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.