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Finding the Fourth Proportional to 506.73, 760.20 and 177.71

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Solution

The fourth proportional to 506.73, 760.20 and 177.71 is: 266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.73 : 760.20 = 177.71 : x
  2. Step 2: Convert to fraction form
    506.73/760.20 = 177.71/x
  3. Step 3: Cross multiply
    506.73x = 760.20 × 177.71
  4. Step 4: Simplify right side
    506.73x = 135,091.34
  5. Step 5: Solve for x
    x = 135,091.34/506.73
  6. Step 6: Final answer
    x = 266.59

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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.