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Finding the Fourth Proportional to 401.58, 554.13 and 226.94

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Solution

The fourth proportional to 401.58, 554.13 and 226.94 is: 313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.58 : 554.13 = 226.94 : x
  2. Step 2: Convert to fraction form
    401.58/554.13 = 226.94/x
  3. Step 3: Cross multiply
    401.58x = 554.13 × 226.94
  4. Step 4: Simplify right side
    401.58x = 125,751.49
  5. Step 5: Solve for x
    x = 125,751.49/401.58
  6. Step 6: Final answer
    x = 313.14

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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.