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Finding the Fourth Proportional to 400.52, 552.28 and 276.24

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Solution

The fourth proportional to 400.52, 552.28 and 276.24 is: 380.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.52 : 552.28 = 276.24 : x
  2. Step 2: Convert to fraction form
    400.52/552.28 = 276.24/x
  3. Step 3: Cross multiply
    400.52x = 552.28 × 276.24
  4. Step 4: Simplify right side
    400.52x = 152,561.83
  5. Step 5: Solve for x
    x = 152,561.83/400.52
  6. Step 6: Final answer
    x = 380.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.