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Finding the Fourth Proportional to 616.22, 850.52 and 354.38

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Solution

The fourth proportional to 616.22, 850.52 and 354.38 is: 489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.22 : 850.52 = 354.38 : x
  2. Step 2: Convert to fraction form
    616.22/850.52 = 354.38/x
  3. Step 3: Cross multiply
    616.22x = 850.52 × 354.38
  4. Step 4: Simplify right side
    616.22x = 301,410.29
  5. Step 5: Solve for x
    x = 301,410.29/616.22
  6. Step 6: Final answer
    x = 489.13

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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.