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Finding the Fourth Proportional to 407.48, 562.44 and 241.74

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Solution

The fourth proportional to 407.48, 562.44 and 241.74 is: 333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.48 : 562.44 = 241.74 : x
  2. Step 2: Convert to fraction form
    407.48/562.44 = 241.74/x
  3. Step 3: Cross multiply
    407.48x = 562.44 × 241.74
  4. Step 4: Simplify right side
    407.48x = 135,964.25
  5. Step 5: Solve for x
    x = 135,964.25/407.48
  6. Step 6: Final answer
    x = 333.68

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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.