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Finding the Fourth Proportional to 344.17, 474.84 and 204.34

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Solution

The fourth proportional to 344.17, 474.84 and 204.34 is: 281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.17 : 474.84 = 204.34 : x
  2. Step 2: Convert to fraction form
    344.17/474.84 = 204.34/x
  3. Step 3: Cross multiply
    344.17x = 474.84 × 204.34
  4. Step 4: Simplify right side
    344.17x = 97,028.81
  5. Step 5: Solve for x
    x = 97,028.81/344.17
  6. Step 6: Final answer
    x = 281.92

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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.