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Finding the Fourth Proportional to 598.60, 898.68 and 310.24

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Solution

The fourth proportional to 598.60, 898.68 and 310.24 is: 465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.60 : 898.68 = 310.24 : x
  2. Step 2: Convert to fraction form
    598.60/898.68 = 310.24/x
  3. Step 3: Cross multiply
    598.60x = 898.68 × 310.24
  4. Step 4: Simplify right side
    598.60x = 278,806.48
  5. Step 5: Solve for x
    x = 278,806.48/598.60
  6. Step 6: Final answer
    x = 465.76

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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.