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Finding the Fourth Proportional to 614.70, 921.81 and 219.27

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Solution

The fourth proportional to 614.70, 921.81 and 219.27 is: 328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.70 : 921.81 = 219.27 : x
  2. Step 2: Convert to fraction form
    614.70/921.81 = 219.27/x
  3. Step 3: Cross multiply
    614.70x = 921.81 × 219.27
  4. Step 4: Simplify right side
    614.70x = 202,125.28
  5. Step 5: Solve for x
    x = 202,125.28/614.70
  6. Step 6: Final answer
    x = 328.82

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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.