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Finding the Fourth Proportional to 324.08, 482.86 and 302

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Solution

The fourth proportional to 324.08, 482.86 and 302 is: 449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.08 : 482.86 = 302 : x
  2. Step 2: Convert to fraction form
    324.08/482.86 = 302/x
  3. Step 3: Cross multiply
    324.08x = 482.86 × 302
  4. Step 4: Simplify right side
    324.08x = 145,823.72
  5. Step 5: Solve for x
    x = 145,823.72/324.08
  6. Step 6: Final answer
    x = 449.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.