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Finding the Fourth Proportional to 412.48, 618.05 and 282.03

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Solution

The fourth proportional to 412.48, 618.05 and 282.03 is: 422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 618.05 = 282.03 : x
  2. Step 2: Convert to fraction form
    412.48/618.05 = 282.03/x
  3. Step 3: Cross multiply
    412.48x = 618.05 × 282.03
  4. Step 4: Simplify right side
    412.48x = 174,308.92
  5. Step 5: Solve for x
    x = 174,308.92/412.48
  6. Step 6: Final answer
    x = 422.59

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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.