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Finding the Fourth Proportional to 594.14, 891.09 and 204.12

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Solution

The fourth proportional to 594.14, 891.09 and 204.12 is: 306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.14 : 891.09 = 204.12 : x
  2. Step 2: Convert to fraction form
    594.14/891.09 = 204.12/x
  3. Step 3: Cross multiply
    594.14x = 891.09 × 204.12
  4. Step 4: Simplify right side
    594.14x = 181,889.29
  5. Step 5: Solve for x
    x = 181,889.29/594.14
  6. Step 6: Final answer
    x = 306.14

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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.