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Finding the Fourth Proportional to 343.56, 474.29 and 212.66

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Solution

The fourth proportional to 343.56, 474.29 and 212.66 is: 293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.56 : 474.29 = 212.66 : x
  2. Step 2: Convert to fraction form
    343.56/474.29 = 212.66/x
  3. Step 3: Cross multiply
    343.56x = 474.29 × 212.66
  4. Step 4: Simplify right side
    343.56x = 100,862.51
  5. Step 5: Solve for x
    x = 100,862.51/343.56
  6. Step 6: Final answer
    x = 293.58

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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.