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Finding the Fourth Proportional to 616.13, 850.28 and 354.14

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Solution

The fourth proportional to 616.13, 850.28 and 354.14 is: 488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.13 : 850.28 = 354.14 : x
  2. Step 2: Convert to fraction form
    616.13/850.28 = 354.14/x
  3. Step 3: Cross multiply
    616.13x = 850.28 × 354.14
  4. Step 4: Simplify right side
    616.13x = 301,112.14
  5. Step 5: Solve for x
    x = 301,112.14/616.13
  6. Step 6: Final answer
    x = 488.72

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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.