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Finding the Fourth Proportional to 594.30, 891.58 and 204.33

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Solution

The fourth proportional to 594.30, 891.58 and 204.33 is: 306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.30 : 891.58 = 204.33 : x
  2. Step 2: Convert to fraction form
    594.30/891.58 = 204.33/x
  3. Step 3: Cross multiply
    594.30x = 891.58 × 204.33
  4. Step 4: Simplify right side
    594.30x = 182,176.54
  5. Step 5: Solve for x
    x = 182,176.54/594.30
  6. Step 6: Final answer
    x = 306.54

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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.