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Finding the Fourth Proportional to 506.49, 759.73 and 289.91

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Solution

The fourth proportional to 506.49, 759.73 and 289.91 is: 434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.49 : 759.73 = 289.91 : x
  2. Step 2: Convert to fraction form
    506.49/759.73 = 289.91/x
  3. Step 3: Cross multiply
    506.49x = 759.73 × 289.91
  4. Step 4: Simplify right side
    506.49x = 220,251.87
  5. Step 5: Solve for x
    x = 220,251.87/506.49
  6. Step 6: Final answer
    x = 434.86

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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.