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Finding the Fourth Proportional to 502.66, 754.08 and 214.09

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Solution

The fourth proportional to 502.66, 754.08 and 214.09 is: 321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.66 : 754.08 = 214.09 : x
  2. Step 2: Convert to fraction form
    502.66/754.08 = 214.09/x
  3. Step 3: Cross multiply
    502.66x = 754.08 × 214.09
  4. Step 4: Simplify right side
    502.66x = 161,440.99
  5. Step 5: Solve for x
    x = 161,440.99/502.66
  6. Step 6: Final answer
    x = 321.17

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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.