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Finding the Fourth Proportional to 337.49, 465.70 and 213.21

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Solution

The fourth proportional to 337.49, 465.70 and 213.21 is: 294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.49 : 465.70 = 213.21 : x
  2. Step 2: Convert to fraction form
    337.49/465.70 = 213.21/x
  3. Step 3: Cross multiply
    337.49x = 465.70 × 213.21
  4. Step 4: Simplify right side
    337.49x = 99,290.45
  5. Step 5: Solve for x
    x = 99,290.45/337.49
  6. Step 6: Final answer
    x = 294.20

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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.