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Finding the Fourth Proportional to 444.27, 613.31 and 313.59

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Solution

The fourth proportional to 444.27, 613.31 and 313.59 is: 432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.27 : 613.31 = 313.59 : x
  2. Step 2: Convert to fraction form
    444.27/613.31 = 313.59/x
  3. Step 3: Cross multiply
    444.27x = 613.31 × 313.59
  4. Step 4: Simplify right side
    444.27x = 192,326.31
  5. Step 5: Solve for x
    x = 192,326.31/444.27
  6. Step 6: Final answer
    x = 432.90

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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.