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Finding the Fourth Proportional to 401.41, 553.93 and 226.75

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Solution

The fourth proportional to 401.41, 553.93 and 226.75 is: 312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.41 : 553.93 = 226.75 : x
  2. Step 2: Convert to fraction form
    401.41/553.93 = 226.75/x
  3. Step 3: Cross multiply
    401.41x = 553.93 × 226.75
  4. Step 4: Simplify right side
    401.41x = 125,603.63
  5. Step 5: Solve for x
    x = 125,603.63/401.41
  6. Step 6: Final answer
    x = 312.91

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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.