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Finding the Fourth Proportional to 343.85, 474.73 and 213.10

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Solution

The fourth proportional to 343.85, 474.73 and 213.10 is: 294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.85 : 474.73 = 213.10 : x
  2. Step 2: Convert to fraction form
    343.85/474.73 = 213.10/x
  3. Step 3: Cross multiply
    343.85x = 474.73 × 213.10
  4. Step 4: Simplify right side
    343.85x = 101,163.24
  5. Step 5: Solve for x
    x = 101,163.24/343.85
  6. Step 6: Final answer
    x = 294.21

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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.