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Finding the Fourth Proportional to 324.10, 486.25 and 221.59

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Solution

The fourth proportional to 324.10, 486.25 and 221.59 is: 332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.10 : 486.25 = 221.59 : x
  2. Step 2: Convert to fraction form
    324.10/486.25 = 221.59/x
  3. Step 3: Cross multiply
    324.10x = 486.25 × 221.59
  4. Step 4: Simplify right side
    324.10x = 107,746.70
  5. Step 5: Solve for x
    x = 107,746.70/324.10
  6. Step 6: Final answer
    x = 332.45

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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.