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Finding the Fourth Proportional to 311.29, 466.94 and 293.47

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Solution

The fourth proportional to 311.29, 466.94 and 293.47 is: 440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.29 : 466.94 = 293.47 : x
  2. Step 2: Convert to fraction form
    311.29/466.94 = 293.47/x
  3. Step 3: Cross multiply
    311.29x = 466.94 × 293.47
  4. Step 4: Simplify right side
    311.29x = 137,031.41
  5. Step 5: Solve for x
    x = 137,031.41/311.29
  6. Step 6: Final answer
    x = 440.21

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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.