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Finding the Fourth Proportional to 414.60, 621.10 and 385.80

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Solution

The fourth proportional to 414.60, 621.10 and 385.80 is: 577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.60 : 621.10 = 385.80 : x
  2. Step 2: Convert to fraction form
    414.60/621.10 = 385.80/x
  3. Step 3: Cross multiply
    414.60x = 621.10 × 385.80
  4. Step 4: Simplify right side
    414.60x = 239,620.38
  5. Step 5: Solve for x
    x = 239,620.38/414.60
  6. Step 6: Final answer
    x = 577.96

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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.