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Finding the Fourth Proportional to 344.25, 474.94 and 213.23

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Solution

The fourth proportional to 344.25, 474.94 and 213.23 is: 294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.25 : 474.94 = 213.23 : x
  2. Step 2: Convert to fraction form
    344.25/474.94 = 213.23/x
  3. Step 3: Cross multiply
    344.25x = 474.94 × 213.23
  4. Step 4: Simplify right side
    344.25x = 101,271.46
  5. Step 5: Solve for x
    x = 101,271.46/344.25
  6. Step 6: Final answer
    x = 294.18

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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.