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Finding the Fourth Proportional to 599.25, 897.24 and 310.08

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Solution

The fourth proportional to 599.25, 897.24 and 310.08 is: 464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.25 : 897.24 = 310.08 : x
  2. Step 2: Convert to fraction form
    599.25/897.24 = 310.08/x
  3. Step 3: Cross multiply
    599.25x = 897.24 × 310.08
  4. Step 4: Simplify right side
    599.25x = 278,216.18
  5. Step 5: Solve for x
    x = 278,216.18/599.25
  6. Step 6: Final answer
    x = 464.27

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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.