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Finding the Fourth Proportional to 298.43, 412 and 200.71

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Solution

The fourth proportional to 298.43, 412 and 200.71 is: 277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.43 : 412 = 200.71 : x
  2. Step 2: Convert to fraction form
    298.43/412 = 200.71/x
  3. Step 3: Cross multiply
    298.43x = 412 × 200.71
  4. Step 4: Simplify right side
    298.43x = 82,690.46
  5. Step 5: Solve for x
    x = 82,690.46/298.43
  6. Step 6: Final answer
    x = 277.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.