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Finding the Fourth Proportional to 401.24, 553.76 and 253.88

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Solution

The fourth proportional to 401.24, 553.76 and 253.88 is: 350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.24 : 553.76 = 253.88 : x
  2. Step 2: Convert to fraction form
    401.24/553.76 = 253.88/x
  3. Step 3: Cross multiply
    401.24x = 553.76 × 253.88
  4. Step 4: Simplify right side
    401.24x = 140,588.59
  5. Step 5: Solve for x
    x = 140,588.59/401.24
  6. Step 6: Final answer
    x = 350.39

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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.