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Finding the Fourth Proportional to 324.49, 486.04 and 202.15

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Solution

The fourth proportional to 324.49, 486.04 and 202.15 is: 302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.49 : 486.04 = 202.15 : x
  2. Step 2: Convert to fraction form
    324.49/486.04 = 202.15/x
  3. Step 3: Cross multiply
    324.49x = 486.04 × 202.15
  4. Step 4: Simplify right side
    324.49x = 98,252.99
  5. Step 5: Solve for x
    x = 98,252.99/324.49
  6. Step 6: Final answer
    x = 302.79

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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.