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Finding the Fourth Proportional to 343.61, 473.94 and 212.39

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Solution

The fourth proportional to 343.61, 473.94 and 212.39 is: 292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.61 : 473.94 = 212.39 : x
  2. Step 2: Convert to fraction form
    343.61/473.94 = 212.39/x
  3. Step 3: Cross multiply
    343.61x = 473.94 × 212.39
  4. Step 4: Simplify right side
    343.61x = 100,657.75
  5. Step 5: Solve for x
    x = 100,657.75/343.61
  6. Step 6: Final answer
    x = 292.95

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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.