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Finding the Fourth Proportional to 445.86, 664.43 and 419.90

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Solution

The fourth proportional to 445.86, 664.43 and 419.90 is: 625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.86 : 664.43 = 419.90 : x
  2. Step 2: Convert to fraction form
    445.86/664.43 = 419.90/x
  3. Step 3: Cross multiply
    445.86x = 664.43 × 419.90
  4. Step 4: Simplify right side
    445.86x = 278,988.74
  5. Step 5: Solve for x
    x = 278,988.74/445.86
  6. Step 6: Final answer
    x = 625.73

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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.