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Finding the Fourth Proportional to 589.88, 884.09 and 243

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Solution

The fourth proportional to 589.88, 884.09 and 243 is: 364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.88 : 884.09 = 243 : x
  2. Step 2: Convert to fraction form
    589.88/884.09 = 243/x
  3. Step 3: Cross multiply
    589.88x = 884.09 × 243
  4. Step 4: Simplify right side
    589.88x = 214,833.87
  5. Step 5: Solve for x
    x = 214,833.87/589.88
  6. Step 6: Final answer
    x = 364.20

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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.