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Finding the Fourth Proportional to 401.17, 598.85 and 371.11

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Solution

The fourth proportional to 401.17, 598.85 and 371.11 is: 553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.17 : 598.85 = 371.11 : x
  2. Step 2: Convert to fraction form
    401.17/598.85 = 371.11/x
  3. Step 3: Cross multiply
    401.17x = 598.85 × 371.11
  4. Step 4: Simplify right side
    401.17x = 222,234.37
  5. Step 5: Solve for x
    x = 222,234.37/401.17
  6. Step 6: Final answer
    x = 553.97

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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.