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Finding the Fourth Proportional to 435.41, 652.83 and 204.20

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Solution

The fourth proportional to 435.41, 652.83 and 204.20 is: 306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.41 : 652.83 = 204.20 : x
  2. Step 2: Convert to fraction form
    435.41/652.83 = 204.20/x
  3. Step 3: Cross multiply
    435.41x = 652.83 × 204.20
  4. Step 4: Simplify right side
    435.41x = 133,304.62
  5. Step 5: Solve for x
    x = 133,304.62/435.41
  6. Step 6: Final answer
    x = 306.16

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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.