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Finding the Fourth Proportional to 616.67, 851.03 and 354.77

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Solution

The fourth proportional to 616.67, 851.03 and 354.77 is: 489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.67 : 851.03 = 354.77 : x
  2. Step 2: Convert to fraction form
    616.67/851.03 = 354.77/x
  3. Step 3: Cross multiply
    616.67x = 851.03 × 354.77
  4. Step 4: Simplify right side
    616.67x = 301,913.88
  5. Step 5: Solve for x
    x = 301,913.88/616.67
  6. Step 6: Final answer
    x = 489.59

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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.