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Finding the Fourth Proportional to 447.22, 670.23 and 293.08

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Solution

The fourth proportional to 447.22, 670.23 and 293.08 is: 439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.22 : 670.23 = 293.08 : x
  2. Step 2: Convert to fraction form
    447.22/670.23 = 293.08/x
  3. Step 3: Cross multiply
    447.22x = 670.23 × 293.08
  4. Step 4: Simplify right side
    447.22x = 196,431.01
  5. Step 5: Solve for x
    x = 196,431.01/447.22
  6. Step 6: Final answer
    x = 439.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.