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Finding the Fourth Proportional to 922.90, 1,384.31 and 229.57

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Solution

The fourth proportional to 922.90, 1,384.31 and 229.57 is: 344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.90 : 1,384.31 = 229.57 : x
  2. Step 2: Convert to fraction form
    922.90/1,384.31 = 229.57/x
  3. Step 3: Cross multiply
    922.90x = 1,384.31 × 229.57
  4. Step 4: Simplify right side
    922.90x = 317,793.16
  5. Step 5: Solve for x
    x = 317,793.16/922.90
  6. Step 6: Final answer
    x = 344.34

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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.