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Finding the Fourth Proportional to 400.07, 552.11 and 225.47

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Solution

The fourth proportional to 400.07, 552.11 and 225.47 is: 311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.07 : 552.11 = 225.47 : x
  2. Step 2: Convert to fraction form
    400.07/552.11 = 225.47/x
  3. Step 3: Cross multiply
    400.07x = 552.11 × 225.47
  4. Step 4: Simplify right side
    400.07x = 124,483.11
  5. Step 5: Solve for x
    x = 124,483.11/400.07
  6. Step 6: Final answer
    x = 311.15

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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.