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Finding the Fourth Proportional to 437.49, 655.71 and 163.26

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Solution

The fourth proportional to 437.49, 655.71 and 163.26 is: 244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.49 : 655.71 = 163.26 : x
  2. Step 2: Convert to fraction form
    437.49/655.71 = 163.26/x
  3. Step 3: Cross multiply
    437.49x = 655.71 × 163.26
  4. Step 4: Simplify right side
    437.49x = 107,051.21
  5. Step 5: Solve for x
    x = 107,051.21/437.49
  6. Step 6: Final answer
    x = 244.69

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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.