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Finding the Fourth Proportional to 444.26, 613.00 and 247.74

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Solution

The fourth proportional to 444.26, 613.00 and 247.74 is: 341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.26 : 613.00 = 247.74 : x
  2. Step 2: Convert to fraction form
    444.26/613.00 = 247.74/x
  3. Step 3: Cross multiply
    444.26x = 613.00 × 247.74
  4. Step 4: Simplify right side
    444.26x = 151,864.93
  5. Step 5: Solve for x
    x = 151,864.93/444.26
  6. Step 6: Final answer
    x = 341.84

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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.