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Finding the Fourth Proportional to 445.60, 664.52 and 440.80

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Solution

The fourth proportional to 445.60, 664.52 and 440.80 is: 657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.60 : 664.52 = 440.80 : x
  2. Step 2: Convert to fraction form
    445.60/664.52 = 440.80/x
  3. Step 3: Cross multiply
    445.60x = 664.52 × 440.80
  4. Step 4: Simplify right side
    445.60x = 292,920.42
  5. Step 5: Solve for x
    x = 292,920.42/445.60
  6. Step 6: Final answer
    x = 657.36

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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.