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Finding the Fourth Proportional to 444.17, 613.35 and 334.14

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Solution

The fourth proportional to 444.17, 613.35 and 334.14 is: 461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.17 : 613.35 = 334.14 : x
  2. Step 2: Convert to fraction form
    444.17/613.35 = 334.14/x
  3. Step 3: Cross multiply
    444.17x = 613.35 × 334.14
  4. Step 4: Simplify right side
    444.17x = 204,944.77
  5. Step 5: Solve for x
    x = 204,944.77/444.17
  6. Step 6: Final answer
    x = 461.42

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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.