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Finding the Fourth Proportional to 375.41, 561.98 and 238.28

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Solution

The fourth proportional to 375.41, 561.98 and 238.28 is: 356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.41 : 561.98 = 238.28 : x
  2. Step 2: Convert to fraction form
    375.41/561.98 = 238.28/x
  3. Step 3: Cross multiply
    375.41x = 561.98 × 238.28
  4. Step 4: Simplify right side
    375.41x = 133,906.38
  5. Step 5: Solve for x
    x = 133,906.38/375.41
  6. Step 6: Final answer
    x = 356.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.