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Finding the Fourth Proportional to 320.86, 482.05 and 205.53

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Solution

The fourth proportional to 320.86, 482.05 and 205.53 is: 308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.86 : 482.05 = 205.53 : x
  2. Step 2: Convert to fraction form
    320.86/482.05 = 205.53/x
  3. Step 3: Cross multiply
    320.86x = 482.05 × 205.53
  4. Step 4: Simplify right side
    320.86x = 99,073.33
  5. Step 5: Solve for x
    x = 99,073.33/320.86
  6. Step 6: Final answer
    x = 308.78

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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.