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Finding the Fourth Proportional to 537.84, 806.64 and 213.12

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Solution

The fourth proportional to 537.84, 806.64 and 213.12 is: 319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.84 : 806.64 = 213.12 : x
  2. Step 2: Convert to fraction form
    537.84/806.64 = 213.12/x
  3. Step 3: Cross multiply
    537.84x = 806.64 × 213.12
  4. Step 4: Simplify right side
    537.84x = 171,911.12
  5. Step 5: Solve for x
    x = 171,911.12/537.84
  6. Step 6: Final answer
    x = 319.63

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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.