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Finding the Fourth Proportional to 898.05, 1,346.82 and 281.43

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Solution

The fourth proportional to 898.05, 1,346.82 and 281.43 is: 422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.05 : 1,346.82 = 281.43 : x
  2. Step 2: Convert to fraction form
    898.05/1,346.82 = 281.43/x
  3. Step 3: Cross multiply
    898.05x = 1,346.82 × 281.43
  4. Step 4: Simplify right side
    898.05x = 379,035.55
  5. Step 5: Solve for x
    x = 379,035.55/898.05
  6. Step 6: Final answer
    x = 422.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.