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Finding the Fourth Proportional to 324.95, 486.56 and 208.76

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Solution

The fourth proportional to 324.95, 486.56 and 208.76 is: 312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.95 : 486.56 = 208.76 : x
  2. Step 2: Convert to fraction form
    324.95/486.56 = 208.76/x
  3. Step 3: Cross multiply
    324.95x = 486.56 × 208.76
  4. Step 4: Simplify right side
    324.95x = 101,576.00
  5. Step 5: Solve for x
    x = 101,576.00/324.95
  6. Step 6: Final answer
    x = 312.59

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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.