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Finding the Fourth Proportional to 414.32, 621.68 and 277.43

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Solution

The fourth proportional to 414.32, 621.68 and 277.43 is: 416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.32 : 621.68 = 277.43 : x
  2. Step 2: Convert to fraction form
    414.32/621.68 = 277.43/x
  3. Step 3: Cross multiply
    414.32x = 621.68 × 277.43
  4. Step 4: Simplify right side
    414.32x = 172,468.19
  5. Step 5: Solve for x
    x = 172,468.19/414.32
  6. Step 6: Final answer
    x = 416.27

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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.