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Finding the Fourth Proportional to 447.76, 618.08 and 282.28

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Solution

The fourth proportional to 447.76, 618.08 and 282.28 is: 389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.76 : 618.08 = 282.28 : x
  2. Step 2: Convert to fraction form
    447.76/618.08 = 282.28/x
  3. Step 3: Cross multiply
    447.76x = 618.08 × 282.28
  4. Step 4: Simplify right side
    447.76x = 174,471.62
  5. Step 5: Solve for x
    x = 174,471.62/447.76
  6. Step 6: Final answer
    x = 389.65

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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.