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Finding the Fourth Proportional to 414.72, 621.88 and 209.24

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Solution

The fourth proportional to 414.72, 621.88 and 209.24 is: 313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 621.88 = 209.24 : x
  2. Step 2: Convert to fraction form
    414.72/621.88 = 209.24/x
  3. Step 3: Cross multiply
    414.72x = 621.88 × 209.24
  4. Step 4: Simplify right side
    414.72x = 130,122.17
  5. Step 5: Solve for x
    x = 130,122.17/414.72
  6. Step 6: Final answer
    x = 313.76

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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.