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Finding the Fourth Proportional to 412.62, 618.95 and 282.31

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Solution

The fourth proportional to 412.62, 618.95 and 282.31 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.62 : 618.95 = 282.31 : x
  2. Step 2: Convert to fraction form
    412.62/618.95 = 282.31/x
  3. Step 3: Cross multiply
    412.62x = 618.95 × 282.31
  4. Step 4: Simplify right side
    412.62x = 174,735.77
  5. Step 5: Solve for x
    x = 174,735.77/412.62
  6. Step 6: Final answer
    x = 423.48

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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.