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Finding the Fourth Proportional to 616.52, 850.77 and 354.48

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Solution

The fourth proportional to 616.52, 850.77 and 354.48 is: 489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.52 : 850.77 = 354.48 : x
  2. Step 2: Convert to fraction form
    616.52/850.77 = 354.48/x
  3. Step 3: Cross multiply
    616.52x = 850.77 × 354.48
  4. Step 4: Simplify right side
    616.52x = 301,580.95
  5. Step 5: Solve for x
    x = 301,580.95/616.52
  6. Step 6: Final answer
    x = 489.17

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