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Finding the Fourth Proportional to 599.21, 899.00 and 252.70

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Solution

The fourth proportional to 599.21, 899.00 and 252.70 is: 379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.21 : 899.00 = 252.70 : x
  2. Step 2: Convert to fraction form
    599.21/899.00 = 252.70/x
  3. Step 3: Cross multiply
    599.21x = 899.00 × 252.70
  4. Step 4: Simplify right side
    599.21x = 227,171.54
  5. Step 5: Solve for x
    x = 227,171.54/599.21
  6. Step 6: Final answer
    x = 379.12

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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.