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Finding the Fourth Proportional to 447.67, 670.18 and 293.09

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Solution

The fourth proportional to 447.67, 670.18 and 293.09 is: 438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.67 : 670.18 = 293.09 : x
  2. Step 2: Convert to fraction form
    447.67/670.18 = 293.09/x
  3. Step 3: Cross multiply
    447.67x = 670.18 × 293.09
  4. Step 4: Simplify right side
    447.67x = 196,423.06
  5. Step 5: Solve for x
    x = 196,423.06/447.67
  6. Step 6: Final answer
    x = 438.77

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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.