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Finding the Fourth Proportional to 309.02, 463.02 and 217.27

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Solution

The fourth proportional to 309.02, 463.02 and 217.27 is: 325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.02 : 463.02 = 217.27 : x
  2. Step 2: Convert to fraction form
    309.02/463.02 = 217.27/x
  3. Step 3: Cross multiply
    309.02x = 463.02 × 217.27
  4. Step 4: Simplify right side
    309.02x = 100,601.34
  5. Step 5: Solve for x
    x = 100,601.34/309.02
  6. Step 6: Final answer
    x = 325.55

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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.