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Finding the Fourth Proportional to 401.17, 553.54 and 226.48

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Solution

The fourth proportional to 401.17, 553.54 and 226.48 is: 312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.17 : 553.54 = 226.48 : x
  2. Step 2: Convert to fraction form
    401.17/553.54 = 226.48/x
  3. Step 3: Cross multiply
    401.17x = 553.54 × 226.48
  4. Step 4: Simplify right side
    401.17x = 125,362.41
  5. Step 5: Solve for x
    x = 125,362.41/401.17
  6. Step 6: Final answer
    x = 312.50

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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.