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Finding the Fourth Proportional to 598.92, 898.38 and 309.75

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Solution

The fourth proportional to 598.92, 898.38 and 309.75 is: 464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.92 : 898.38 = 309.75 : x
  2. Step 2: Convert to fraction form
    598.92/898.38 = 309.75/x
  3. Step 3: Cross multiply
    598.92x = 898.38 × 309.75
  4. Step 4: Simplify right side
    598.92x = 278,273.21
  5. Step 5: Solve for x
    x = 278,273.21/598.92
  6. Step 6: Final answer
    x = 464.63

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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.