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Finding the Fourth Proportional to 616.80, 850.48 and 420.44

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Solution

The fourth proportional to 616.80, 850.48 and 420.44 is: 579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.80 : 850.48 = 420.44 : x
  2. Step 2: Convert to fraction form
    616.80/850.48 = 420.44/x
  3. Step 3: Cross multiply
    616.80x = 850.48 × 420.44
  4. Step 4: Simplify right side
    616.80x = 357,575.81
  5. Step 5: Solve for x
    x = 357,575.81/616.80
  6. Step 6: Final answer
    x = 579.73

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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.