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Finding the Fourth Proportional to 589.18, 883.62 and 204.40

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Solution

The fourth proportional to 589.18, 883.62 and 204.40 is: 306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.18 : 883.62 = 204.40 : x
  2. Step 2: Convert to fraction form
    589.18/883.62 = 204.40/x
  3. Step 3: Cross multiply
    589.18x = 883.62 × 204.40
  4. Step 4: Simplify right side
    589.18x = 180,611.93
  5. Step 5: Solve for x
    x = 180,611.93/589.18
  6. Step 6: Final answer
    x = 306.55

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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.