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Finding the Fourth Proportional to 594.70, 892.20 and 204.73

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Solution

The fourth proportional to 594.70, 892.20 and 204.73 is: 307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.70 : 892.20 = 204.73 : x
  2. Step 2: Convert to fraction form
    594.70/892.20 = 204.73/x
  3. Step 3: Cross multiply
    594.70x = 892.20 × 204.73
  4. Step 4: Simplify right side
    594.70x = 182,660.11
  5. Step 5: Solve for x
    x = 182,660.11/594.70
  6. Step 6: Final answer
    x = 307.15

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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.