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Finding the Fourth Proportional to 399.20, 598.74 and 204.20

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Solution

The fourth proportional to 399.20, 598.74 and 204.20 is: 306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.20 : 598.74 = 204.20 : x
  2. Step 2: Convert to fraction form
    399.20/598.74 = 204.20/x
  3. Step 3: Cross multiply
    399.20x = 598.74 × 204.20
  4. Step 4: Simplify right side
    399.20x = 122,262.71
  5. Step 5: Solve for x
    x = 122,262.71/399.20
  6. Step 6: Final answer
    x = 306.27

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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.