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Finding the Fourth Proportional to 435.96, 601.61 and 261.27

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Solution

The fourth proportional to 435.96, 601.61 and 261.27 is: 360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.96 : 601.61 = 261.27 : x
  2. Step 2: Convert to fraction form
    435.96/601.61 = 261.27/x
  3. Step 3: Cross multiply
    435.96x = 601.61 × 261.27
  4. Step 4: Simplify right side
    435.96x = 157,181.34
  5. Step 5: Solve for x
    x = 157,181.34/435.96
  6. Step 6: Final answer
    x = 360.54

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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.