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Finding the Fourth Proportional to 474.26, 711.26 and 181.79

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Solution

The fourth proportional to 474.26, 711.26 and 181.79 is: 272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.26 : 711.26 = 181.79 : x
  2. Step 2: Convert to fraction form
    474.26/711.26 = 181.79/x
  3. Step 3: Cross multiply
    474.26x = 711.26 × 181.79
  4. Step 4: Simplify right side
    474.26x = 129,302.33
  5. Step 5: Solve for x
    x = 129,302.33/474.26
  6. Step 6: Final answer
    x = 272.64

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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.