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Finding the Fourth Proportional to 324.74, 486.20 and 202.70

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Solution

The fourth proportional to 324.74, 486.20 and 202.70 is: 303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.74 : 486.20 = 202.70 : x
  2. Step 2: Convert to fraction form
    324.74/486.20 = 202.70/x
  3. Step 3: Cross multiply
    324.74x = 486.20 × 202.70
  4. Step 4: Simplify right side
    324.74x = 98,552.74
  5. Step 5: Solve for x
    x = 98,552.74/324.74
  6. Step 6: Final answer
    x = 303.48

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Why These Related Problems?

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