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Finding the Fourth Proportional to 324.93, 445.96 and 297.12

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Solution

The fourth proportional to 324.93, 445.96 and 297.12 is: 407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.93 : 445.96 = 297.12 : x
  2. Step 2: Convert to fraction form
    324.93/445.96 = 297.12/x
  3. Step 3: Cross multiply
    324.93x = 445.96 × 297.12
  4. Step 4: Simplify right side
    324.93x = 132,503.64
  5. Step 5: Solve for x
    x = 132,503.64/324.93
  6. Step 6: Final answer
    x = 407.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.