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Finding the Fourth Proportional to 444.02, 613.44 and 411.21

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Solution

The fourth proportional to 444.02, 613.44 and 411.21 is: 568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.02 : 613.44 = 411.21 : x
  2. Step 2: Convert to fraction form
    444.02/613.44 = 411.21/x
  3. Step 3: Cross multiply
    444.02x = 613.44 × 411.21
  4. Step 4: Simplify right side
    444.02x = 252,252.66
  5. Step 5: Solve for x
    x = 252,252.66/444.02
  6. Step 6: Final answer
    x = 568.12

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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.