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Finding the Fourth Proportional to 324.30, 486.12 and 208.42

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Solution

The fourth proportional to 324.30, 486.12 and 208.42 is: 312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.30 : 486.12 = 208.42 : x
  2. Step 2: Convert to fraction form
    324.30/486.12 = 208.42/x
  3. Step 3: Cross multiply
    324.30x = 486.12 × 208.42
  4. Step 4: Simplify right side
    324.30x = 101,317.13
  5. Step 5: Solve for x
    x = 101,317.13/324.30
  6. Step 6: Final answer
    x = 312.42

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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.