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Finding the Fourth Proportional to 343.34, 473.90 and 212.30

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Solution

The fourth proportional to 343.34, 473.90 and 212.30 is: 293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.34 : 473.90 = 212.30 : x
  2. Step 2: Convert to fraction form
    343.34/473.90 = 212.30/x
  3. Step 3: Cross multiply
    343.34x = 473.90 × 212.30
  4. Step 4: Simplify right side
    343.34x = 100,608.97
  5. Step 5: Solve for x
    x = 100,608.97/343.34
  6. Step 6: Final answer
    x = 293.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.