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Finding the Fourth Proportional to 589.43, 884.29 and 416.44

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Solution

The fourth proportional to 589.43, 884.29 and 416.44 is: 624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.43 : 884.29 = 416.44 : x
  2. Step 2: Convert to fraction form
    589.43/884.29 = 416.44/x
  3. Step 3: Cross multiply
    589.43x = 884.29 × 416.44
  4. Step 4: Simplify right side
    589.43x = 368,249.31
  5. Step 5: Solve for x
    x = 368,249.31/589.43
  6. Step 6: Final answer
    x = 624.75

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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.