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Finding the Fourth Proportional to 399.12, 598.80 and 204.24

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Solution

The fourth proportional to 399.12, 598.80 and 204.24 is: 306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.12 : 598.80 = 204.24 : x
  2. Step 2: Convert to fraction form
    399.12/598.80 = 204.24/x
  3. Step 3: Cross multiply
    399.12x = 598.80 × 204.24
  4. Step 4: Simplify right side
    399.12x = 122,298.91
  5. Step 5: Solve for x
    x = 122,298.91/399.12
  6. Step 6: Final answer
    x = 306.42

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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.