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Finding the Fourth Proportional to 398.91, 598.70 and 204.06

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Solution

The fourth proportional to 398.91, 598.70 and 204.06 is: 306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.91 : 598.70 = 204.06 : x
  2. Step 2: Convert to fraction form
    398.91/598.70 = 204.06/x
  3. Step 3: Cross multiply
    398.91x = 598.70 × 204.06
  4. Step 4: Simplify right side
    398.91x = 122,170.72
  5. Step 5: Solve for x
    x = 122,170.72/398.91
  6. Step 6: Final answer
    x = 306.26

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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.