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Finding the Fourth Proportional to 410.93, 616.49 and 122.36

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Solution

The fourth proportional to 410.93, 616.49 and 122.36 is: 183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.93 : 616.49 = 122.36 : x
  2. Step 2: Convert to fraction form
    410.93/616.49 = 122.36/x
  3. Step 3: Cross multiply
    410.93x = 616.49 × 122.36
  4. Step 4: Simplify right side
    410.93x = 75,433.10
  5. Step 5: Solve for x
    x = 75,433.10/410.93
  6. Step 6: Final answer
    x = 183.57

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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.