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Finding the Fourth Proportional to 589.59, 884.39 and 238.35

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Solution

The fourth proportional to 589.59, 884.39 and 238.35 is: 357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.59 : 884.39 = 238.35 : x
  2. Step 2: Convert to fraction form
    589.59/884.39 = 238.35/x
  3. Step 3: Cross multiply
    589.59x = 884.39 × 238.35
  4. Step 4: Simplify right side
    589.59x = 210,793.16
  5. Step 5: Solve for x
    x = 210,793.16/589.59
  6. Step 6: Final answer
    x = 357.53

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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.