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Finding the Fourth Proportional to 598.60, 898.04 and 187.73

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Solution

The fourth proportional to 598.60, 898.04 and 187.73 is: 281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.60 : 898.04 = 187.73 : x
  2. Step 2: Convert to fraction form
    598.60/898.04 = 187.73/x
  3. Step 3: Cross multiply
    598.60x = 898.04 × 187.73
  4. Step 4: Simplify right side
    598.60x = 168,589.05
  5. Step 5: Solve for x
    x = 168,589.05/598.60
  6. Step 6: Final answer
    x = 281.64

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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.