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Finding the Fourth Proportional to 301.53, 452.47 and 204.06

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Solution

The fourth proportional to 301.53, 452.47 and 204.06 is: 306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.53 : 452.47 = 204.06 : x
  2. Step 2: Convert to fraction form
    301.53/452.47 = 204.06/x
  3. Step 3: Cross multiply
    301.53x = 452.47 × 204.06
  4. Step 4: Simplify right side
    301.53x = 92,331.03
  5. Step 5: Solve for x
    x = 92,331.03/301.53
  6. Step 6: Final answer
    x = 306.21

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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.