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Finding the Fourth Proportional to 414.90, 621.95 and 209.23

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Solution

The fourth proportional to 414.90, 621.95 and 209.23 is: 313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.90 : 621.95 = 209.23 : x
  2. Step 2: Convert to fraction form
    414.90/621.95 = 209.23/x
  3. Step 3: Cross multiply
    414.90x = 621.95 × 209.23
  4. Step 4: Simplify right side
    414.90x = 130,133.26
  5. Step 5: Solve for x
    x = 130,133.26/414.90
  6. Step 6: Final answer
    x = 313.65

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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.