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Finding the Fourth Proportional to 600.40, 898.73 and 325.81

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Solution

The fourth proportional to 600.40, 898.73 and 325.81 is: 487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.40 : 898.73 = 325.81 : x
  2. Step 2: Convert to fraction form
    600.40/898.73 = 325.81/x
  3. Step 3: Cross multiply
    600.40x = 898.73 × 325.81
  4. Step 4: Simplify right side
    600.40x = 292,815.22
  5. Step 5: Solve for x
    x = 292,815.22/600.40
  6. Step 6: Final answer
    x = 487.70

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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.