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Finding the Fourth Proportional to 410.93, 616.39 and 122.37

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Solution

The fourth proportional to 410.93, 616.39 and 122.37 is: 183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.93 : 616.39 = 122.37 : x
  2. Step 2: Convert to fraction form
    410.93/616.39 = 122.37/x
  3. Step 3: Cross multiply
    410.93x = 616.39 × 122.37
  4. Step 4: Simplify right side
    410.93x = 75,427.64
  5. Step 5: Solve for x
    x = 75,427.64/410.93
  6. Step 6: Final answer
    x = 183.55

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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.