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Finding the Fourth Proportional to 315.46, 435.41 and 204.90

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Solution

The fourth proportional to 315.46, 435.41 and 204.90 is: 282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.46 : 435.41 = 204.90 : x
  2. Step 2: Convert to fraction form
    315.46/435.41 = 204.90/x
  3. Step 3: Cross multiply
    315.46x = 435.41 × 204.90
  4. Step 4: Simplify right side
    315.46x = 89,213.62
  5. Step 5: Solve for x
    x = 89,213.62/315.46
  6. Step 6: Final answer
    x = 282.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.