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Finding the Fourth Proportional to 324.87, 447.93 and 293.78

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Solution

The fourth proportional to 324.87, 447.93 and 293.78 is: 405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.87 : 447.93 = 293.78 : x
  2. Step 2: Convert to fraction form
    324.87/447.93 = 293.78/x
  3. Step 3: Cross multiply
    324.87x = 447.93 × 293.78
  4. Step 4: Simplify right side
    324.87x = 131,590.64
  5. Step 5: Solve for x
    x = 131,590.64/324.87
  6. Step 6: Final answer
    x = 405.06

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