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Finding the Fourth Proportional to 343.29, 473.75 and 212.25

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Solution

The fourth proportional to 343.29, 473.75 and 212.25 is: 292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.29 : 473.75 = 212.25 : x
  2. Step 2: Convert to fraction form
    343.29/473.75 = 212.25/x
  3. Step 3: Cross multiply
    343.29x = 473.75 × 212.25
  4. Step 4: Simplify right side
    343.29x = 100,553.44
  5. Step 5: Solve for x
    x = 100,553.44/343.29
  6. Step 6: Final answer
    x = 292.91

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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.