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Finding the Fourth Proportional to 589.34, 884.10 and 204.50

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Solution

The fourth proportional to 589.34, 884.10 and 204.50 is: 306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.34 : 884.10 = 204.50 : x
  2. Step 2: Convert to fraction form
    589.34/884.10 = 204.50/x
  3. Step 3: Cross multiply
    589.34x = 884.10 × 204.50
  4. Step 4: Simplify right side
    589.34x = 180,798.45
  5. Step 5: Solve for x
    x = 180,798.45/589.34
  6. Step 6: Final answer
    x = 306.78

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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.