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Finding the Fourth Proportional to 594.38, 891.63 and 204.46

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Solution

The fourth proportional to 594.38, 891.63 and 204.46 is: 306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.38 : 891.63 = 204.46 : x
  2. Step 2: Convert to fraction form
    594.38/891.63 = 204.46/x
  3. Step 3: Cross multiply
    594.38x = 891.63 × 204.46
  4. Step 4: Simplify right side
    594.38x = 182,300.44
  5. Step 5: Solve for x
    x = 182,300.44/594.38
  6. Step 6: Final answer
    x = 306.71

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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.