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Finding the Fourth Proportional to 404.34, 606.48 and 241.66

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Solution

The fourth proportional to 404.34, 606.48 and 241.66 is: 362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.34 : 606.48 = 241.66 : x
  2. Step 2: Convert to fraction form
    404.34/606.48 = 241.66/x
  3. Step 3: Cross multiply
    404.34x = 606.48 × 241.66
  4. Step 4: Simplify right side
    404.34x = 146,561.96
  5. Step 5: Solve for x
    x = 146,561.96/404.34
  6. Step 6: Final answer
    x = 362.47

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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.