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Finding the Fourth Proportional to 400.36, 552.47 and 232.30

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Solution

The fourth proportional to 400.36, 552.47 and 232.30 is: 320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.36 : 552.47 = 232.30 : x
  2. Step 2: Convert to fraction form
    400.36/552.47 = 232.30/x
  3. Step 3: Cross multiply
    400.36x = 552.47 × 232.30
  4. Step 4: Simplify right side
    400.36x = 128,338.51
  5. Step 5: Solve for x
    x = 128,338.51/400.36
  6. Step 6: Final answer
    x = 320.56

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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.