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Finding the Fourth Proportional to 506.26, 758.94 and 461.11

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Solution

The fourth proportional to 506.26, 758.94 and 461.11 is: 691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.26 : 758.94 = 461.11 : x
  2. Step 2: Convert to fraction form
    506.26/758.94 = 461.11/x
  3. Step 3: Cross multiply
    506.26x = 758.94 × 461.11
  4. Step 4: Simplify right side
    506.26x = 349,954.82
  5. Step 5: Solve for x
    x = 349,954.82/506.26
  6. Step 6: Final answer
    x = 691.26

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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.