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Finding the Fourth Proportional to 324.52, 444.84 and 323.08

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Solution

The fourth proportional to 324.52, 444.84 and 323.08 is: 442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.52 : 444.84 = 323.08 : x
  2. Step 2: Convert to fraction form
    324.52/444.84 = 323.08/x
  3. Step 3: Cross multiply
    324.52x = 444.84 × 323.08
  4. Step 4: Simplify right side
    324.52x = 143,718.91
  5. Step 5: Solve for x
    x = 143,718.91/324.52
  6. Step 6: Final answer
    x = 442.87

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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.