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Finding the Fourth Proportional to 401.15, 553.64 and 226.50

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Solution

The fourth proportional to 401.15, 553.64 and 226.50 is: 312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.15 : 553.64 = 226.50 : x
  2. Step 2: Convert to fraction form
    401.15/553.64 = 226.50/x
  3. Step 3: Cross multiply
    401.15x = 553.64 × 226.50
  4. Step 4: Simplify right side
    401.15x = 125,398.33
  5. Step 5: Solve for x
    x = 125,398.33/401.15
  6. Step 6: Final answer
    x = 312.60

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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.