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Finding the Fourth Proportional to 400.54, 552.29 and 282.48

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Solution

The fourth proportional to 400.54, 552.29 and 282.48 is: 389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.54 : 552.29 = 282.48 : x
  2. Step 2: Convert to fraction form
    400.54/552.29 = 282.48/x
  3. Step 3: Cross multiply
    400.54x = 552.29 × 282.48
  4. Step 4: Simplify right side
    400.54x = 156,010.88
  5. Step 5: Solve for x
    x = 156,010.88/400.54
  6. Step 6: Final answer
    x = 389.50

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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.