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Finding the Fourth Proportional to 337.85, 466.12 and 213.47

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Solution

The fourth proportional to 337.85, 466.12 and 213.47 is: 294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.85 : 466.12 = 213.47 : x
  2. Step 2: Convert to fraction form
    337.85/466.12 = 213.47/x
  3. Step 3: Cross multiply
    337.85x = 466.12 × 213.47
  4. Step 4: Simplify right side
    337.85x = 99,503.27
  5. Step 5: Solve for x
    x = 99,503.27/337.85
  6. Step 6: Final answer
    x = 294.52

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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.