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Finding the Fourth Proportional to 407.75, 562.74 and 241.94

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Solution

The fourth proportional to 407.75, 562.74 and 241.94 is: 333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.75 : 562.74 = 241.94 : x
  2. Step 2: Convert to fraction form
    407.75/562.74 = 241.94/x
  3. Step 3: Cross multiply
    407.75x = 562.74 × 241.94
  4. Step 4: Simplify right side
    407.75x = 136,149.32
  5. Step 5: Solve for x
    x = 136,149.32/407.75
  6. Step 6: Final answer
    x = 333.90

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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.