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Finding the Fourth Proportional to 399.96, 552.13 and 282.03

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Solution

The fourth proportional to 399.96, 552.13 and 282.03 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.96 : 552.13 = 282.03 : x
  2. Step 2: Convert to fraction form
    399.96/552.13 = 282.03/x
  3. Step 3: Cross multiply
    399.96x = 552.13 × 282.03
  4. Step 4: Simplify right side
    399.96x = 155,715.48
  5. Step 5: Solve for x
    x = 155,715.48/399.96
  6. Step 6: Final answer
    x = 389.33

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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.