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Finding the Fourth Proportional to 598.73, 898.47 and 274.14

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Solution

The fourth proportional to 598.73, 898.47 and 274.14 is: 411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.73 : 898.47 = 274.14 : x
  2. Step 2: Convert to fraction form
    598.73/898.47 = 274.14/x
  3. Step 3: Cross multiply
    598.73x = 898.47 × 274.14
  4. Step 4: Simplify right side
    598.73x = 246,306.57
  5. Step 5: Solve for x
    x = 246,306.57/598.73
  6. Step 6: Final answer
    x = 411.39

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Why These Related Problems?

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