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Finding the Fourth Proportional to 323.24, 484.86 and 209

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Solution

The fourth proportional to 323.24, 484.86 and 209 is: 313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.24 : 484.86 = 209 : x
  2. Step 2: Convert to fraction form
    323.24/484.86 = 209/x
  3. Step 3: Cross multiply
    323.24x = 484.86 × 209
  4. Step 4: Simplify right side
    323.24x = 101,335.74
  5. Step 5: Solve for x
    x = 101,335.74/323.24
  6. Step 6: Final answer
    x = 313.50

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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.