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Finding the Fourth Proportional to 400.92, 553.47 and 253.77

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Solution

The fourth proportional to 400.92, 553.47 and 253.77 is: 350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.92 : 553.47 = 253.77 : x
  2. Step 2: Convert to fraction form
    400.92/553.47 = 253.77/x
  3. Step 3: Cross multiply
    400.92x = 553.47 × 253.77
  4. Step 4: Simplify right side
    400.92x = 140,454.08
  5. Step 5: Solve for x
    x = 140,454.08/400.92
  6. Step 6: Final answer
    x = 350.33

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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.