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Finding the Fourth Proportional to 407.25, 562.03 and 241.56

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Solution

The fourth proportional to 407.25, 562.03 and 241.56 is: 333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.25 : 562.03 = 241.56 : x
  2. Step 2: Convert to fraction form
    407.25/562.03 = 241.56/x
  3. Step 3: Cross multiply
    407.25x = 562.03 × 241.56
  4. Step 4: Simplify right side
    407.25x = 135,763.36
  5. Step 5: Solve for x
    x = 135,763.36/407.25
  6. Step 6: Final answer
    x = 333.37

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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.