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Finding the Fourth Proportional to 414.02, 621.31 and 285.54

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Solution

The fourth proportional to 414.02, 621.31 and 285.54 is: 428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.02 : 621.31 = 285.54 : x
  2. Step 2: Convert to fraction form
    414.02/621.31 = 285.54/x
  3. Step 3: Cross multiply
    414.02x = 621.31 × 285.54
  4. Step 4: Simplify right side
    414.02x = 177,408.86
  5. Step 5: Solve for x
    x = 177,408.86/414.02
  6. Step 6: Final answer
    x = 428.50

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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.