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Finding the Fourth Proportional to 357.96, 494.12 and 241.59

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Solution

The fourth proportional to 357.96, 494.12 and 241.59 is: 333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.96 : 494.12 = 241.59 : x
  2. Step 2: Convert to fraction form
    357.96/494.12 = 241.59/x
  3. Step 3: Cross multiply
    357.96x = 494.12 × 241.59
  4. Step 4: Simplify right side
    357.96x = 119,374.45
  5. Step 5: Solve for x
    x = 119,374.45/357.96
  6. Step 6: Final answer
    x = 333.49

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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.