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Finding the Fourth Proportional to 599.86, 898.57 and 310.69

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Solution

The fourth proportional to 599.86, 898.57 and 310.69 is: 465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.86 : 898.57 = 310.69 : x
  2. Step 2: Convert to fraction form
    599.86/898.57 = 310.69/x
  3. Step 3: Cross multiply
    599.86x = 898.57 × 310.69
  4. Step 4: Simplify right side
    599.86x = 279,173.69
  5. Step 5: Solve for x
    x = 279,173.69/599.86
  6. Step 6: Final answer
    x = 465.40

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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.