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Finding the Fourth Proportional to 501.26, 752.09 and 241.25

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Solution

The fourth proportional to 501.26, 752.09 and 241.25 is: 361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.26 : 752.09 = 241.25 : x
  2. Step 2: Convert to fraction form
    501.26/752.09 = 241.25/x
  3. Step 3: Cross multiply
    501.26x = 752.09 × 241.25
  4. Step 4: Simplify right side
    501.26x = 181,436.75
  5. Step 5: Solve for x
    x = 181,436.75/501.26
  6. Step 6: Final answer
    x = 361.96

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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.