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Finding the Fourth Proportional to 452.44, 677.20 and 409.81

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Solution

The fourth proportional to 452.44, 677.20 and 409.81 is: 613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.44 : 677.20 = 409.81 : x
  2. Step 2: Convert to fraction form
    452.44/677.20 = 409.81/x
  3. Step 3: Cross multiply
    452.44x = 677.20 × 409.81
  4. Step 4: Simplify right side
    452.44x = 277,523.33
  5. Step 5: Solve for x
    x = 277,523.33/452.44
  6. Step 6: Final answer
    x = 613.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.