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Finding the Fourth Proportional to 337.64, 465.82 and 213.17

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Solution

The fourth proportional to 337.64, 465.82 and 213.17 is: 294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.64 : 465.82 = 213.17 : x
  2. Step 2: Convert to fraction form
    337.64/465.82 = 213.17/x
  3. Step 3: Cross multiply
    337.64x = 465.82 × 213.17
  4. Step 4: Simplify right side
    337.64x = 99,295.99
  5. Step 5: Solve for x
    x = 99,295.99/337.64
  6. Step 6: Final answer
    x = 294.09

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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.