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Finding the Fourth Proportional to 288.70, 398.29 and 204.80

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Solution

The fourth proportional to 288.70, 398.29 and 204.80 is: 282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.70 : 398.29 = 204.80 : x
  2. Step 2: Convert to fraction form
    288.70/398.29 = 204.80/x
  3. Step 3: Cross multiply
    288.70x = 398.29 × 204.80
  4. Step 4: Simplify right side
    288.70x = 81,569.79
  5. Step 5: Solve for x
    x = 81,569.79/288.70
  6. Step 6: Final answer
    x = 282.54

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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.