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Finding the Fourth Proportional to 343.29, 473.84 and 212.22

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Solution

The fourth proportional to 343.29, 473.84 and 212.22 is: 292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.29 : 473.84 = 212.22 : x
  2. Step 2: Convert to fraction form
    343.29/473.84 = 212.22/x
  3. Step 3: Cross multiply
    343.29x = 473.84 × 212.22
  4. Step 4: Simplify right side
    343.29x = 100,557.26
  5. Step 5: Solve for x
    x = 100,557.26/343.29
  6. Step 6: Final answer
    x = 292.92

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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.