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Finding the Fourth Proportional to 407.47, 562.26 and 241.66

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Solution

The fourth proportional to 407.47, 562.26 and 241.66 is: 333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.47 : 562.26 = 241.66 : x
  2. Step 2: Convert to fraction form
    407.47/562.26 = 241.66/x
  3. Step 3: Cross multiply
    407.47x = 562.26 × 241.66
  4. Step 4: Simplify right side
    407.47x = 135,873.92
  5. Step 5: Solve for x
    x = 135,873.92/407.47
  6. Step 6: Final answer
    x = 333.45

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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.