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Finding the Fourth Proportional to 401.06, 553.24 and 253.64

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Solution

The fourth proportional to 401.06, 553.24 and 253.64 is: 349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.06 : 553.24 = 253.64 : x
  2. Step 2: Convert to fraction form
    401.06/553.24 = 253.64/x
  3. Step 3: Cross multiply
    401.06x = 553.24 × 253.64
  4. Step 4: Simplify right side
    401.06x = 140,323.79
  5. Step 5: Solve for x
    x = 140,323.79/401.06
  6. Step 6: Final answer
    x = 349.88

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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.