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Finding the Fourth Proportional to 414.60, 621.89 and 409.47

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Solution

The fourth proportional to 414.60, 621.89 and 409.47 is: 614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.60 : 621.89 = 409.47 : x
  2. Step 2: Convert to fraction form
    414.60/621.89 = 409.47/x
  3. Step 3: Cross multiply
    414.60x = 621.89 × 409.47
  4. Step 4: Simplify right side
    414.60x = 254,648.26
  5. Step 5: Solve for x
    x = 254,648.26/414.60
  6. Step 6: Final answer
    x = 614.20

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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.