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Finding the Fourth Proportional to 401.48, 599.31 and 371.42

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Solution

The fourth proportional to 401.48, 599.31 and 371.42 is: 554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.48 : 599.31 = 371.42 : x
  2. Step 2: Convert to fraction form
    401.48/599.31 = 371.42/x
  3. Step 3: Cross multiply
    401.48x = 599.31 × 371.42
  4. Step 4: Simplify right side
    401.48x = 222,592.72
  5. Step 5: Solve for x
    x = 222,592.72/401.48
  6. Step 6: Final answer
    x = 554.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.