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Finding the Fourth Proportional to 599.12, 898.20 and 310.64

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Solution

The fourth proportional to 599.12, 898.20 and 310.64 is: 465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.12 : 898.20 = 310.64 : x
  2. Step 2: Convert to fraction form
    599.12/898.20 = 310.64/x
  3. Step 3: Cross multiply
    599.12x = 898.20 × 310.64
  4. Step 4: Simplify right side
    599.12x = 279,016.85
  5. Step 5: Solve for x
    x = 279,016.85/599.12
  6. Step 6: Final answer
    x = 465.71

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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.