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Finding the Fourth Proportional to 506.82, 759.42 and 458.22

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Solution

The fourth proportional to 506.82, 759.42 and 458.22 is: 686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.82 : 759.42 = 458.22 : x
  2. Step 2: Convert to fraction form
    506.82/759.42 = 458.22/x
  3. Step 3: Cross multiply
    506.82x = 759.42 × 458.22
  4. Step 4: Simplify right side
    506.82x = 347,977.24
  5. Step 5: Solve for x
    x = 347,977.24/506.82
  6. Step 6: Final answer
    x = 686.59

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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.