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Finding the Fourth Proportional to 385.24, 575.04 and 331.48

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Solution

The fourth proportional to 385.24, 575.04 and 331.48 is: 494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.24 : 575.04 = 331.48 : x
  2. Step 2: Convert to fraction form
    385.24/575.04 = 331.48/x
  3. Step 3: Cross multiply
    385.24x = 575.04 × 331.48
  4. Step 4: Simplify right side
    385.24x = 190,614.26
  5. Step 5: Solve for x
    x = 190,614.26/385.24
  6. Step 6: Final answer
    x = 494.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.