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Finding the Fourth Proportional to 506.88, 759.94 and 455.37

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Solution

The fourth proportional to 506.88, 759.94 and 455.37 is: 682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 759.94 = 455.37 : x
  2. Step 2: Convert to fraction form
    506.88/759.94 = 455.37/x
  3. Step 3: Cross multiply
    506.88x = 759.94 × 455.37
  4. Step 4: Simplify right side
    506.88x = 346,053.88
  5. Step 5: Solve for x
    x = 346,053.88/506.88
  6. Step 6: Final answer
    x = 682.71

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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.