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Finding the Fourth Proportional to 616.47, 850.46 and 406.38

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Solution

The fourth proportional to 616.47, 850.46 and 406.38 is: 560.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.47 : 850.46 = 406.38 : x
  2. Step 2: Convert to fraction form
    616.47/850.46 = 406.38/x
  3. Step 3: Cross multiply
    616.47x = 850.46 × 406.38
  4. Step 4: Simplify right side
    616.47x = 345,607.90
  5. Step 5: Solve for x
    x = 345,607.90/616.47
  6. Step 6: Final answer
    x = 560.62

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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.