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Finding the Fourth Proportional to 401.04, 553.08 and 253.56

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Solution

The fourth proportional to 401.04, 553.08 and 253.56 is: 349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.04 : 553.08 = 253.56 : x
  2. Step 2: Convert to fraction form
    401.04/553.08 = 253.56/x
  3. Step 3: Cross multiply
    401.04x = 553.08 × 253.56
  4. Step 4: Simplify right side
    401.04x = 140,238.96
  5. Step 5: Solve for x
    x = 140,238.96/401.04
  6. Step 6: Final answer
    x = 349.69

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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.