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Finding the Fourth Proportional to 400.64, 552.90 and 226.02

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Solution

The fourth proportional to 400.64, 552.90 and 226.02 is: 311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.64 : 552.90 = 226.02 : x
  2. Step 2: Convert to fraction form
    400.64/552.90 = 226.02/x
  3. Step 3: Cross multiply
    400.64x = 552.90 × 226.02
  4. Step 4: Simplify right side
    400.64x = 124,966.46
  5. Step 5: Solve for x
    x = 124,966.46/400.64
  6. Step 6: Final answer
    x = 311.92

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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.