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Finding the Fourth Proportional to 324.90, 486.93 and 216.78

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Solution

The fourth proportional to 324.90, 486.93 and 216.78 is: 324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.90 : 486.93 = 216.78 : x
  2. Step 2: Convert to fraction form
    324.90/486.93 = 216.78/x
  3. Step 3: Cross multiply
    324.90x = 486.93 × 216.78
  4. Step 4: Simplify right side
    324.90x = 105,556.69
  5. Step 5: Solve for x
    x = 105,556.69/324.90
  6. Step 6: Final answer
    x = 324.89

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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.