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Finding the Fourth Proportional to 401.35, 553.82 and 226.66

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Solution

The fourth proportional to 401.35, 553.82 and 226.66 is: 312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.35 : 553.82 = 226.66 : x
  2. Step 2: Convert to fraction form
    401.35/553.82 = 226.66/x
  3. Step 3: Cross multiply
    401.35x = 553.82 × 226.66
  4. Step 4: Simplify right side
    401.35x = 125,528.84
  5. Step 5: Solve for x
    x = 125,528.84/401.35
  6. Step 6: Final answer
    x = 312.77

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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.