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Finding the Fourth Proportional to 616.57, 850.86 and 354.57

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Solution

The fourth proportional to 616.57, 850.86 and 354.57 is: 489.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.57 : 850.86 = 354.57 : x
  2. Step 2: Convert to fraction form
    616.57/850.86 = 354.57/x
  3. Step 3: Cross multiply
    616.57x = 850.86 × 354.57
  4. Step 4: Simplify right side
    616.57x = 301,685.18
  5. Step 5: Solve for x
    x = 301,685.18/616.57
  6. Step 6: Final answer
    x = 489.30

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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.