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Finding the Fourth Proportional to 414.65, 621.90 and 209.34

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Solution

The fourth proportional to 414.65, 621.90 and 209.34 is: 313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.65 : 621.90 = 209.34 : x
  2. Step 2: Convert to fraction form
    414.65/621.90 = 209.34/x
  3. Step 3: Cross multiply
    414.65x = 621.90 × 209.34
  4. Step 4: Simplify right side
    414.65x = 130,188.55
  5. Step 5: Solve for x
    x = 130,188.55/414.65
  6. Step 6: Final answer
    x = 313.97

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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.