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Finding the Fourth Proportional to 408.60, 611.55 and 408.60

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Solution

The fourth proportional to 408.60, 611.55 and 408.60 is: 611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.60 : 611.55 = 408.60 : x
  2. Step 2: Convert to fraction form
    408.60/611.55 = 408.60/x
  3. Step 3: Cross multiply
    408.60x = 611.55 × 408.60
  4. Step 4: Simplify right side
    408.60x = 249,879.33
  5. Step 5: Solve for x
    x = 249,879.33/408.60
  6. Step 6: Final answer
    x = 611.55

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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.