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Finding the Fourth Proportional to 324.74, 486.96 and 105.32

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Solution

The fourth proportional to 324.74, 486.96 and 105.32 is: 157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.74 : 486.96 = 105.32 : x
  2. Step 2: Convert to fraction form
    324.74/486.96 = 105.32/x
  3. Step 3: Cross multiply
    324.74x = 486.96 × 105.32
  4. Step 4: Simplify right side
    324.74x = 51,286.63
  5. Step 5: Solve for x
    x = 51,286.63/324.74
  6. Step 6: Final answer
    x = 157.93

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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.