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Finding the Fourth Proportional to 324.50, 486.75 and 96.50

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Solution

The fourth proportional to 324.50, 486.75 and 96.50 is: 144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.50 : 486.75 = 96.50 : x
  2. Step 2: Convert to fraction form
    324.50/486.75 = 96.50/x
  3. Step 3: Cross multiply
    324.50x = 486.75 × 96.50
  4. Step 4: Simplify right side
    324.50x = 46,971.38
  5. Step 5: Solve for x
    x = 46,971.38/324.50
  6. Step 6: Final answer
    x = 144.75

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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.