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Finding the Fourth Proportional to 407.32, 562.08 and 241.54

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Solution

The fourth proportional to 407.32, 562.08 and 241.54 is: 333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.32 : 562.08 = 241.54 : x
  2. Step 2: Convert to fraction form
    407.32/562.08 = 241.54/x
  3. Step 3: Cross multiply
    407.32x = 562.08 × 241.54
  4. Step 4: Simplify right side
    407.32x = 135,764.80
  5. Step 5: Solve for x
    x = 135,764.80/407.32
  6. Step 6: Final answer
    x = 333.31

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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.