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Finding the Fourth Proportional to 435.36, 652.12 and 204.44

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Solution

The fourth proportional to 435.36, 652.12 and 204.44 is: 306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.36 : 652.12 = 204.44 : x
  2. Step 2: Convert to fraction form
    435.36/652.12 = 204.44/x
  3. Step 3: Cross multiply
    435.36x = 652.12 × 204.44
  4. Step 4: Simplify right side
    435.36x = 133,315.64
  5. Step 5: Solve for x
    x = 133,315.64/435.36
  6. Step 6: Final answer
    x = 306.22

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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.