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Finding the Fourth Proportional to 433.97, 650.91 and 174.08

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Solution

The fourth proportional to 433.97, 650.91 and 174.08 is: 261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.97 : 650.91 = 174.08 : x
  2. Step 2: Convert to fraction form
    433.97/650.91 = 174.08/x
  3. Step 3: Cross multiply
    433.97x = 650.91 × 174.08
  4. Step 4: Simplify right side
    433.97x = 113,310.41
  5. Step 5: Solve for x
    x = 113,310.41/433.97
  6. Step 6: Final answer
    x = 261.10

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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.