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Finding the Fourth Proportional to 589.14, 883.80 and 204.36

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Solution

The fourth proportional to 589.14, 883.80 and 204.36 is: 306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.14 : 883.80 = 204.36 : x
  2. Step 2: Convert to fraction form
    589.14/883.80 = 204.36/x
  3. Step 3: Cross multiply
    589.14x = 883.80 × 204.36
  4. Step 4: Simplify right side
    589.14x = 180,613.37
  5. Step 5: Solve for x
    x = 180,613.37/589.14
  6. Step 6: Final answer
    x = 306.57

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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.