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Finding the Fourth Proportional to 616.56, 850.68 and 492.24

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Solution

The fourth proportional to 616.56, 850.68 and 492.24 is: 679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.56 : 850.68 = 492.24 : x
  2. Step 2: Convert to fraction form
    616.56/850.68 = 492.24/x
  3. Step 3: Cross multiply
    616.56x = 850.68 × 492.24
  4. Step 4: Simplify right side
    616.56x = 418,738.72
  5. Step 5: Solve for x
    x = 418,738.72/616.56
  6. Step 6: Final answer
    x = 679.15

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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.