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Finding the Fourth Proportional to 379.30, 568.40 and 242.06

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Solution

The fourth proportional to 379.30, 568.40 and 242.06 is: 362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.30 : 568.40 = 242.06 : x
  2. Step 2: Convert to fraction form
    379.30/568.40 = 242.06/x
  3. Step 3: Cross multiply
    379.30x = 568.40 × 242.06
  4. Step 4: Simplify right side
    379.30x = 137,586.90
  5. Step 5: Solve for x
    x = 137,586.90/379.30
  6. Step 6: Final answer
    x = 362.74

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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.