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Finding the Fourth Proportional to 378.01, 521.99 and 238.38

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Solution

The fourth proportional to 378.01, 521.99 and 238.38 is: 329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.01 : 521.99 = 238.38 : x
  2. Step 2: Convert to fraction form
    378.01/521.99 = 238.38/x
  3. Step 3: Cross multiply
    378.01x = 521.99 × 238.38
  4. Step 4: Simplify right side
    378.01x = 124,431.98
  5. Step 5: Solve for x
    x = 124,431.98/378.01
  6. Step 6: Final answer
    x = 329.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.