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Finding the Fourth Proportional to 445.74, 664.68 and 414.96

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Solution

The fourth proportional to 445.74, 664.68 and 414.96 is: 618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.74 : 664.68 = 414.96 : x
  2. Step 2: Convert to fraction form
    445.74/664.68 = 414.96/x
  3. Step 3: Cross multiply
    445.74x = 664.68 × 414.96
  4. Step 4: Simplify right side
    445.74x = 275,815.61
  5. Step 5: Solve for x
    x = 275,815.61/445.74
  6. Step 6: Final answer
    x = 618.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.