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Finding the Fourth Proportional to 399.74, 599.45 and 122.06

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Solution

The fourth proportional to 399.74, 599.45 and 122.06 is: 183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.74 : 599.45 = 122.06 : x
  2. Step 2: Convert to fraction form
    399.74/599.45 = 122.06/x
  3. Step 3: Cross multiply
    399.74x = 599.45 × 122.06
  4. Step 4: Simplify right side
    399.74x = 73,165.26
  5. Step 5: Solve for x
    x = 73,165.26/399.74
  6. Step 6: Final answer
    x = 183.03

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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.