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Finding the Fourth Proportional to 412.24, 618.16 and 282.44

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Solution

The fourth proportional to 412.24, 618.16 and 282.44 is: 423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.24 : 618.16 = 282.44 : x
  2. Step 2: Convert to fraction form
    412.24/618.16 = 282.44/x
  3. Step 3: Cross multiply
    412.24x = 618.16 × 282.44
  4. Step 4: Simplify right side
    412.24x = 174,593.11
  5. Step 5: Solve for x
    x = 174,593.11/412.24
  6. Step 6: Final answer
    x = 423.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.