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Finding the Fourth Proportional to 501.57, 751.83 and 241.41

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Solution

The fourth proportional to 501.57, 751.83 and 241.41 is: 361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.57 : 751.83 = 241.41 : x
  2. Step 2: Convert to fraction form
    501.57/751.83 = 241.41/x
  3. Step 3: Cross multiply
    501.57x = 751.83 × 241.41
  4. Step 4: Simplify right side
    501.57x = 181,499.28
  5. Step 5: Solve for x
    x = 181,499.28/501.57
  6. Step 6: Final answer
    x = 361.86

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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.