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Finding the Fourth Proportional to 435.46, 653.46 and 252.94

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Solution

The fourth proportional to 435.46, 653.46 and 252.94 is: 379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.46 : 653.46 = 252.94 : x
  2. Step 2: Convert to fraction form
    435.46/653.46 = 252.94/x
  3. Step 3: Cross multiply
    435.46x = 653.46 × 252.94
  4. Step 4: Simplify right side
    435.46x = 165,286.17
  5. Step 5: Solve for x
    x = 165,286.17/435.46
  6. Step 6: Final answer
    x = 379.57

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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.