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Finding the Fourth Proportional to 506.57, 759.04 and 457.97

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Solution

The fourth proportional to 506.57, 759.04 and 457.97 is: 686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.57 : 759.04 = 457.97 : x
  2. Step 2: Convert to fraction form
    506.57/759.04 = 457.97/x
  3. Step 3: Cross multiply
    506.57x = 759.04 × 457.97
  4. Step 4: Simplify right side
    506.57x = 347,615.65
  5. Step 5: Solve for x
    x = 347,615.65/506.57
  6. Step 6: Final answer
    x = 686.22

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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.