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Finding the Fourth Proportional to 412.98, 616.14 and 361.56

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Solution

The fourth proportional to 412.98, 616.14 and 361.56 is: 539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.98 : 616.14 = 361.56 : x
  2. Step 2: Convert to fraction form
    412.98/616.14 = 361.56/x
  3. Step 3: Cross multiply
    412.98x = 616.14 × 361.56
  4. Step 4: Simplify right side
    412.98x = 222,771.58
  5. Step 5: Solve for x
    x = 222,771.58/412.98
  6. Step 6: Final answer
    x = 539.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.