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Finding the Fourth Proportional to 309.52, 463.77 and 217.77

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Solution

The fourth proportional to 309.52, 463.77 and 217.77 is: 326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.52 : 463.77 = 217.77 : x
  2. Step 2: Convert to fraction form
    309.52/463.77 = 217.77/x
  3. Step 3: Cross multiply
    309.52x = 463.77 × 217.77
  4. Step 4: Simplify right side
    309.52x = 100,996.90
  5. Step 5: Solve for x
    x = 100,996.90/309.52
  6. Step 6: Final answer
    x = 326.30

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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.