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Finding the Fourth Proportional to 811.84, 1,217.16 and 324.52

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Solution

The fourth proportional to 811.84, 1,217.16 and 324.52 is: 486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.84 : 1,217.16 = 324.52 : x
  2. Step 2: Convert to fraction form
    811.84/1,217.16 = 324.52/x
  3. Step 3: Cross multiply
    811.84x = 1,217.16 × 324.52
  4. Step 4: Simplify right side
    811.84x = 394,992.76
  5. Step 5: Solve for x
    x = 394,992.76/811.84
  6. Step 6: Final answer
    x = 486.54

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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.