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Finding the Fourth Proportional to 343.48, 473.99 and 212.48

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Solution

The fourth proportional to 343.48, 473.99 and 212.48 is: 293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.48 : 473.99 = 212.48 : x
  2. Step 2: Convert to fraction form
    343.48/473.99 = 212.48/x
  3. Step 3: Cross multiply
    343.48x = 473.99 × 212.48
  4. Step 4: Simplify right side
    343.48x = 100,712.33
  5. Step 5: Solve for x
    x = 100,712.33/343.48
  6. Step 6: Final answer
    x = 293.22

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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.