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Finding the Fourth Proportional to 506.57, 759.93 and 177.59

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Solution

The fourth proportional to 506.57, 759.93 and 177.59 is: 266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.57 : 759.93 = 177.59 : x
  2. Step 2: Convert to fraction form
    506.57/759.93 = 177.59/x
  3. Step 3: Cross multiply
    506.57x = 759.93 × 177.59
  4. Step 4: Simplify right side
    506.57x = 134,958.20
  5. Step 5: Solve for x
    x = 134,958.20/506.57
  6. Step 6: Final answer
    x = 266.42

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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.