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Finding the Fourth Proportional to 399.67, 599.49 and 156.02

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Solution

The fourth proportional to 399.67, 599.49 and 156.02 is: 234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.67 : 599.49 = 156.02 : x
  2. Step 2: Convert to fraction form
    399.67/599.49 = 156.02/x
  3. Step 3: Cross multiply
    399.67x = 599.49 × 156.02
  4. Step 4: Simplify right side
    399.67x = 93,529.43
  5. Step 5: Solve for x
    x = 93,529.43/399.67
  6. Step 6: Final answer
    x = 234.02

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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.