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Finding the Fourth Proportional to 616.16, 850.46 and 416.90

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Solution

The fourth proportional to 616.16, 850.46 and 416.90 is: 575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.16 : 850.46 = 416.90 : x
  2. Step 2: Convert to fraction form
    616.16/850.46 = 416.90/x
  3. Step 3: Cross multiply
    616.16x = 850.46 × 416.90
  4. Step 4: Simplify right side
    616.16x = 354,556.77
  5. Step 5: Solve for x
    x = 354,556.77/616.16
  6. Step 6: Final answer
    x = 575.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.