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Finding the Fourth Proportional to 401.46, 554.04 and 226.83

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Solution

The fourth proportional to 401.46, 554.04 and 226.83 is: 313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.46 : 554.04 = 226.83 : x
  2. Step 2: Convert to fraction form
    401.46/554.04 = 226.83/x
  3. Step 3: Cross multiply
    401.46x = 554.04 × 226.83
  4. Step 4: Simplify right side
    401.46x = 125,672.89
  5. Step 5: Solve for x
    x = 125,672.89/401.46
  6. Step 6: Final answer
    x = 313.04

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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.