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Finding the Fourth Proportional to 435.38, 652.62 and 261.62

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Solution

The fourth proportional to 435.38, 652.62 and 261.62 is: 392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.38 : 652.62 = 261.62 : x
  2. Step 2: Convert to fraction form
    435.38/652.62 = 261.62/x
  3. Step 3: Cross multiply
    435.38x = 652.62 × 261.62
  4. Step 4: Simplify right side
    435.38x = 170,738.44
  5. Step 5: Solve for x
    x = 170,738.44/435.38
  6. Step 6: Final answer
    x = 392.16

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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.