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Finding the Fourth Proportional to 343.14, 473.29 and 211.92

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Solution

The fourth proportional to 343.14, 473.29 and 211.92 is: 292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.14 : 473.29 = 211.92 : x
  2. Step 2: Convert to fraction form
    343.14/473.29 = 211.92/x
  3. Step 3: Cross multiply
    343.14x = 473.29 × 211.92
  4. Step 4: Simplify right side
    343.14x = 100,298.50
  5. Step 5: Solve for x
    x = 100,298.50/343.14
  6. Step 6: Final answer
    x = 292.30

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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.