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Finding the Fourth Proportional to 594.63, 891.99 and 204.62

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Solution

The fourth proportional to 594.63, 891.99 and 204.62 is: 306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.63 : 891.99 = 204.62 : x
  2. Step 2: Convert to fraction form
    594.63/891.99 = 204.62/x
  3. Step 3: Cross multiply
    594.63x = 891.99 × 204.62
  4. Step 4: Simplify right side
    594.63x = 182,514.53
  5. Step 5: Solve for x
    x = 182,514.53/594.63
  6. Step 6: Final answer
    x = 306.94

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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.