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Finding the Fourth Proportional to 321.92, 482.77 and 206.49

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Solution

The fourth proportional to 321.92, 482.77 and 206.49 is: 309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.92 : 482.77 = 206.49 : x
  2. Step 2: Convert to fraction form
    321.92/482.77 = 206.49/x
  3. Step 3: Cross multiply
    321.92x = 482.77 × 206.49
  4. Step 4: Simplify right side
    321.92x = 99,686.66
  5. Step 5: Solve for x
    x = 99,686.66/321.92
  6. Step 6: Final answer
    x = 309.67

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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.