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Finding the Fourth Proportional to 401.63, 554.27 and 226.98

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Solution

The fourth proportional to 401.63, 554.27 and 226.98 is: 313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.63 : 554.27 = 226.98 : x
  2. Step 2: Convert to fraction form
    401.63/554.27 = 226.98/x
  3. Step 3: Cross multiply
    401.63x = 554.27 × 226.98
  4. Step 4: Simplify right side
    401.63x = 125,807.07
  5. Step 5: Solve for x
    x = 125,807.07/401.63
  6. Step 6: Final answer
    x = 313.25

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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.