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Finding the Fourth Proportional to 379.12, 567.84 and 234.52

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Solution

The fourth proportional to 379.12, 567.84 and 234.52 is: 351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.12 : 567.84 = 234.52 : x
  2. Step 2: Convert to fraction form
    379.12/567.84 = 234.52/x
  3. Step 3: Cross multiply
    379.12x = 567.84 × 234.52
  4. Step 4: Simplify right side
    379.12x = 133,169.84
  5. Step 5: Solve for x
    x = 133,169.84/379.12
  6. Step 6: Final answer
    x = 351.26

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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.