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Finding the Fourth Proportional to 616.02, 850.19 and 354.12

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Solution

The fourth proportional to 616.02, 850.19 and 354.12 is: 488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.02 : 850.19 = 354.12 : x
  2. Step 2: Convert to fraction form
    616.02/850.19 = 354.12/x
  3. Step 3: Cross multiply
    616.02x = 850.19 × 354.12
  4. Step 4: Simplify right side
    616.02x = 301,067.51
  5. Step 5: Solve for x
    x = 301,067.51/616.02
  6. Step 6: Final answer
    x = 488.73

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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.