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Finding the Fourth Proportional to 400.65, 552.80 and 225.96

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Solution

The fourth proportional to 400.65, 552.80 and 225.96 is: 311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.65 : 552.80 = 225.96 : x
  2. Step 2: Convert to fraction form
    400.65/552.80 = 225.96/x
  3. Step 3: Cross multiply
    400.65x = 552.80 × 225.96
  4. Step 4: Simplify right side
    400.65x = 124,911.25
  5. Step 5: Solve for x
    x = 124,911.25/400.65
  6. Step 6: Final answer
    x = 311.77

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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.