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Finding the Fourth Proportional to 400.77, 552.63 and 269.55

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Solution

The fourth proportional to 400.77, 552.63 and 269.55 is: 371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.77 : 552.63 = 269.55 : x
  2. Step 2: Convert to fraction form
    400.77/552.63 = 269.55/x
  3. Step 3: Cross multiply
    400.77x = 552.63 × 269.55
  4. Step 4: Simplify right side
    400.77x = 148,961.42
  5. Step 5: Solve for x
    x = 148,961.42/400.77
  6. Step 6: Final answer
    x = 371.69

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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.