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Finding the Fourth Proportional to 330.47, 495.12 and 214.77

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Solution

The fourth proportional to 330.47, 495.12 and 214.77 is: 321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.47 : 495.12 = 214.77 : x
  2. Step 2: Convert to fraction form
    330.47/495.12 = 214.77/x
  3. Step 3: Cross multiply
    330.47x = 495.12 × 214.77
  4. Step 4: Simplify right side
    330.47x = 106,336.92
  5. Step 5: Solve for x
    x = 106,336.92/330.47
  6. Step 6: Final answer
    x = 321.78

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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.