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Finding the Fourth Proportional to 506.26, 697.71 and 375.22

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Solution

The fourth proportional to 506.26, 697.71 and 375.22 is: 517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.26 : 697.71 = 375.22 : x
  2. Step 2: Convert to fraction form
    506.26/697.71 = 375.22/x
  3. Step 3: Cross multiply
    506.26x = 697.71 × 375.22
  4. Step 4: Simplify right side
    506.26x = 261,794.75
  5. Step 5: Solve for x
    x = 261,794.75/506.26
  6. Step 6: Final answer
    x = 517.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.