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Finding the Fourth Proportional to 407.54, 562.38 and 241.80

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Solution

The fourth proportional to 407.54, 562.38 and 241.80 is: 333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.54 : 562.38 = 241.80 : x
  2. Step 2: Convert to fraction form
    407.54/562.38 = 241.80/x
  3. Step 3: Cross multiply
    407.54x = 562.38 × 241.80
  4. Step 4: Simplify right side
    407.54x = 135,980.47
  5. Step 5: Solve for x
    x = 135,980.47/407.54
  6. Step 6: Final answer
    x = 333.66

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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.