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Finding the Fourth Proportional to 412.02, 618.75 and 408.87

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Solution

The fourth proportional to 412.02, 618.75 and 408.87 is: 614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.02 : 618.75 = 408.87 : x
  2. Step 2: Convert to fraction form
    412.02/618.75 = 408.87/x
  3. Step 3: Cross multiply
    412.02x = 618.75 × 408.87
  4. Step 4: Simplify right side
    412.02x = 252,988.31
  5. Step 5: Solve for x
    x = 252,988.31/412.02
  6. Step 6: Final answer
    x = 614.02

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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.