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Finding the Fourth Proportional to 471.69, 650.91 and 261.86

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Solution

The fourth proportional to 471.69, 650.91 and 261.86 is: 361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.69 : 650.91 = 261.86 : x
  2. Step 2: Convert to fraction form
    471.69/650.91 = 261.86/x
  3. Step 3: Cross multiply
    471.69x = 650.91 × 261.86
  4. Step 4: Simplify right side
    471.69x = 170,448.92
  5. Step 5: Solve for x
    x = 170,448.92/471.69
  6. Step 6: Final answer
    x = 361.36

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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.