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Finding the Fourth Proportional to 324.77, 486.80 and 209.44

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Solution

The fourth proportional to 324.77, 486.80 and 209.44 is: 313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.77 : 486.80 = 209.44 : x
  2. Step 2: Convert to fraction form
    324.77/486.80 = 209.44/x
  3. Step 3: Cross multiply
    324.77x = 486.80 × 209.44
  4. Step 4: Simplify right side
    324.77x = 101,955.39
  5. Step 5: Solve for x
    x = 101,955.39/324.77
  6. Step 6: Final answer
    x = 313.93

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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.