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Finding the Fourth Proportional to 344, 474.84 and 206

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Solution

The fourth proportional to 344, 474.84 and 206 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    344 : 474.84 = 206 : x
  2. Step 2: Convert to fraction form
    344/474.84 = 206/x
  3. Step 3: Cross multiply
    344x = 474.84 × 206
  4. Step 4: Simplify right side
    344x = 97,817.04
  5. Step 5: Solve for x
    x = 97,817.04/344
  6. Step 6: Final answer
    x = 284.35

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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.