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Finding the Fourth Proportional to 599.76, 899.37 and 234.27

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Solution

The fourth proportional to 599.76, 899.37 and 234.27 is: 351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.76 : 899.37 = 234.27 : x
  2. Step 2: Convert to fraction form
    599.76/899.37 = 234.27/x
  3. Step 3: Cross multiply
    599.76x = 899.37 × 234.27
  4. Step 4: Simplify right side
    599.76x = 210,695.41
  5. Step 5: Solve for x
    x = 210,695.41/599.76
  6. Step 6: Final answer
    x = 351.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.