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Finding the Fourth Proportional to 401.60, 554.25 and 226.94

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Solution

The fourth proportional to 401.60, 554.25 and 226.94 is: 313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.60 : 554.25 = 226.94 : x
  2. Step 2: Convert to fraction form
    401.60/554.25 = 226.94/x
  3. Step 3: Cross multiply
    401.60x = 554.25 × 226.94
  4. Step 4: Simplify right side
    401.60x = 125,781.50
  5. Step 5: Solve for x
    x = 125,781.50/401.60
  6. Step 6: Final answer
    x = 313.20

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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.