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Finding the Fourth Proportional to 414.29, 624.32 and 354.21

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Solution

The fourth proportional to 414.29, 624.32 and 354.21 is: 533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.29 : 624.32 = 354.21 : x
  2. Step 2: Convert to fraction form
    414.29/624.32 = 354.21/x
  3. Step 3: Cross multiply
    414.29x = 624.32 × 354.21
  4. Step 4: Simplify right side
    414.29x = 221,138.62
  5. Step 5: Solve for x
    x = 221,138.62/414.29
  6. Step 6: Final answer
    x = 533.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.