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Finding the Fourth Proportional to 330.65, 495.40 and 214.95

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Solution

The fourth proportional to 330.65, 495.40 and 214.95 is: 322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.65 : 495.40 = 214.95 : x
  2. Step 2: Convert to fraction form
    330.65/495.40 = 214.95/x
  3. Step 3: Cross multiply
    330.65x = 495.40 × 214.95
  4. Step 4: Simplify right side
    330.65x = 106,487.95
  5. Step 5: Solve for x
    x = 106,487.95/330.65
  6. Step 6: Final answer
    x = 322.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.