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Finding the Fourth Proportional to 506.70, 759.78 and 275.31

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Solution

The fourth proportional to 506.70, 759.78 and 275.31 is: 412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.70 : 759.78 = 275.31 : x
  2. Step 2: Convert to fraction form
    506.70/759.78 = 275.31/x
  3. Step 3: Cross multiply
    506.70x = 759.78 × 275.31
  4. Step 4: Simplify right side
    506.70x = 209,175.03
  5. Step 5: Solve for x
    x = 209,175.03/506.70
  6. Step 6: Final answer
    x = 412.82

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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.