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Finding the Fourth Proportional to 379.26, 567.60 and 242.40

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Solution

The fourth proportional to 379.26, 567.60 and 242.40 is: 362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.26 : 567.60 = 242.40 : x
  2. Step 2: Convert to fraction form
    379.26/567.60 = 242.40/x
  3. Step 3: Cross multiply
    379.26x = 567.60 × 242.40
  4. Step 4: Simplify right side
    379.26x = 137,586.24
  5. Step 5: Solve for x
    x = 137,586.24/379.26
  6. Step 6: Final answer
    x = 362.78

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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.