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Finding the Fourth Proportional to 435.42, 652.74 and 261.85

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Solution

The fourth proportional to 435.42, 652.74 and 261.85 is: 392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.42 : 652.74 = 261.85 : x
  2. Step 2: Convert to fraction form
    435.42/652.74 = 261.85/x
  3. Step 3: Cross multiply
    435.42x = 652.74 × 261.85
  4. Step 4: Simplify right side
    435.42x = 170,919.97
  5. Step 5: Solve for x
    x = 170,919.97/435.42
  6. Step 6: Final answer
    x = 392.54

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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.