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Finding the Fourth Proportional to 324.08, 485.67 and 208.46

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Solution

The fourth proportional to 324.08, 485.67 and 208.46 is: 312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.08 : 485.67 = 208.46 : x
  2. Step 2: Convert to fraction form
    324.08/485.67 = 208.46/x
  3. Step 3: Cross multiply
    324.08x = 485.67 × 208.46
  4. Step 4: Simplify right side
    324.08x = 101,240.34
  5. Step 5: Solve for x
    x = 101,240.34/324.08
  6. Step 6: Final answer
    x = 312.40

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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.