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Finding the Fourth Proportional to 415.91, 574.01 and 241.22

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Solution

The fourth proportional to 415.91, 574.01 and 241.22 is: 332.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.91 : 574.01 = 241.22 : x
  2. Step 2: Convert to fraction form
    415.91/574.01 = 241.22/x
  3. Step 3: Cross multiply
    415.91x = 574.01 × 241.22
  4. Step 4: Simplify right side
    415.91x = 138,462.69
  5. Step 5: Solve for x
    x = 138,462.69/415.91
  6. Step 6: Final answer
    x = 332.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.