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Finding the Fourth Proportional to 324.50, 447.67 and 216.74

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Solution

The fourth proportional to 324.50, 447.67 and 216.74 is: 299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.50 : 447.67 = 216.74 : x
  2. Step 2: Convert to fraction form
    324.50/447.67 = 216.74/x
  3. Step 3: Cross multiply
    324.50x = 447.67 × 216.74
  4. Step 4: Simplify right side
    324.50x = 97,028.00
  5. Step 5: Solve for x
    x = 97,028.00/324.50
  6. Step 6: Final answer
    x = 299.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.