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Finding the Fourth Proportional to 330.34, 495.30 and 214.64

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Solution

The fourth proportional to 330.34, 495.30 and 214.64 is: 321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.34 : 495.30 = 214.64 : x
  2. Step 2: Convert to fraction form
    330.34/495.30 = 214.64/x
  3. Step 3: Cross multiply
    330.34x = 495.30 × 214.64
  4. Step 4: Simplify right side
    330.34x = 106,311.19
  5. Step 5: Solve for x
    x = 106,311.19/330.34
  6. Step 6: Final answer
    x = 321.82

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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.