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Finding the Fourth Proportional to 324.61, 487.14 and 202.96

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Solution

The fourth proportional to 324.61, 487.14 and 202.96 is: 304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.61 : 487.14 = 202.96 : x
  2. Step 2: Convert to fraction form
    324.61/487.14 = 202.96/x
  3. Step 3: Cross multiply
    324.61x = 487.14 × 202.96
  4. Step 4: Simplify right side
    324.61x = 98,869.93
  5. Step 5: Solve for x
    x = 98,869.93/324.61
  6. Step 6: Final answer
    x = 304.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.