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Finding the Fourth Proportional to 414.21, 572.01 and 354.85

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Solution

The fourth proportional to 414.21, 572.01 and 354.85 is: 490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.21 : 572.01 = 354.85 : x
  2. Step 2: Convert to fraction form
    414.21/572.01 = 354.85/x
  3. Step 3: Cross multiply
    414.21x = 572.01 × 354.85
  4. Step 4: Simplify right side
    414.21x = 202,977.75
  5. Step 5: Solve for x
    x = 202,977.75/414.21
  6. Step 6: Final answer
    x = 490.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.