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Finding the Fourth Proportional to 401.23, 553.86 and 253.84

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Solution

The fourth proportional to 401.23, 553.86 and 253.84 is: 350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.23 : 553.86 = 253.84 : x
  2. Step 2: Convert to fraction form
    401.23/553.86 = 253.84/x
  3. Step 3: Cross multiply
    401.23x = 553.86 × 253.84
  4. Step 4: Simplify right side
    401.23x = 140,589.80
  5. Step 5: Solve for x
    x = 140,589.80/401.23
  6. Step 6: Final answer
    x = 350.40

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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.