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Finding the Fourth Proportional to 599.53, 897.67 and 310.36

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Solution

The fourth proportional to 599.53, 897.67 and 310.36 is: 464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.53 : 897.67 = 310.36 : x
  2. Step 2: Convert to fraction form
    599.53/897.67 = 310.36/x
  3. Step 3: Cross multiply
    599.53x = 897.67 × 310.36
  4. Step 4: Simplify right side
    599.53x = 278,600.86
  5. Step 5: Solve for x
    x = 278,600.86/599.53
  6. Step 6: Final answer
    x = 464.70

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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.