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Finding the Fourth Proportional to 343.14, 473.61 and 212.28

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Solution

The fourth proportional to 343.14, 473.61 and 212.28 is: 292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.14 : 473.61 = 212.28 : x
  2. Step 2: Convert to fraction form
    343.14/473.61 = 212.28/x
  3. Step 3: Cross multiply
    343.14x = 473.61 × 212.28
  4. Step 4: Simplify right side
    343.14x = 100,537.93
  5. Step 5: Solve for x
    x = 100,537.93/343.14
  6. Step 6: Final answer
    x = 292.99

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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.