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Finding the Fourth Proportional to 399.68, 599.69 and 262.70

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Solution

The fourth proportional to 399.68, 599.69 and 262.70 is: 394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.68 : 599.69 = 262.70 : x
  2. Step 2: Convert to fraction form
    399.68/599.69 = 262.70/x
  3. Step 3: Cross multiply
    399.68x = 599.69 × 262.70
  4. Step 4: Simplify right side
    399.68x = 157,538.75
  5. Step 5: Solve for x
    x = 157,538.75/399.68
  6. Step 6: Final answer
    x = 394.16

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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.