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Finding the Fourth Proportional to 399.37, 599.01 and 182.88

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Solution

The fourth proportional to 399.37, 599.01 and 182.88 is: 274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.37 : 599.01 = 182.88 : x
  2. Step 2: Convert to fraction form
    399.37/599.01 = 182.88/x
  3. Step 3: Cross multiply
    399.37x = 599.01 × 182.88
  4. Step 4: Simplify right side
    399.37x = 109,546.95
  5. Step 5: Solve for x
    x = 109,546.95/399.37
  6. Step 6: Final answer
    x = 274.30

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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.