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Finding the Fourth Proportional to 375.30, 562.41 and 238.05

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Solution

The fourth proportional to 375.30, 562.41 and 238.05 is: 356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.30 : 562.41 = 238.05 : x
  2. Step 2: Convert to fraction form
    375.30/562.41 = 238.05/x
  3. Step 3: Cross multiply
    375.30x = 562.41 × 238.05
  4. Step 4: Simplify right side
    375.30x = 133,881.70
  5. Step 5: Solve for x
    x = 133,881.70/375.30
  6. Step 6: Final answer
    x = 356.73

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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.