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Finding the Fourth Proportional to 379.82, 568.40 and 233.51

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Solution

The fourth proportional to 379.82, 568.40 and 233.51 is: 349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.82 : 568.40 = 233.51 : x
  2. Step 2: Convert to fraction form
    379.82/568.40 = 233.51/x
  3. Step 3: Cross multiply
    379.82x = 568.40 × 233.51
  4. Step 4: Simplify right side
    379.82x = 132,723.07
  5. Step 5: Solve for x
    x = 132,723.07/379.82
  6. Step 6: Final answer
    x = 349.44

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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.