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Finding the Fourth Proportional to 399.74, 599.97 and 204.87

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Solution

The fourth proportional to 399.74, 599.97 and 204.87 is: 307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.74 : 599.97 = 204.87 : x
  2. Step 2: Convert to fraction form
    399.74/599.97 = 204.87/x
  3. Step 3: Cross multiply
    399.74x = 599.97 × 204.87
  4. Step 4: Simplify right side
    399.74x = 122,919.43
  5. Step 5: Solve for x
    x = 122,919.43/399.74
  6. Step 6: Final answer
    x = 307.50

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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.