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Finding the Fourth Proportional to 444.12, 613.17 and 304.19

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Solution

The fourth proportional to 444.12, 613.17 and 304.19 is: 419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.12 : 613.17 = 304.19 : x
  2. Step 2: Convert to fraction form
    444.12/613.17 = 304.19/x
  3. Step 3: Cross multiply
    444.12x = 613.17 × 304.19
  4. Step 4: Simplify right side
    444.12x = 186,517.12
  5. Step 5: Solve for x
    x = 186,517.12/444.12
  6. Step 6: Final answer
    x = 419.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.