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Finding the Fourth Proportional to 589.20, 884.32 and 384.00

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Solution

The fourth proportional to 589.20, 884.32 and 384.00 is: 576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.20 : 884.32 = 384.00 : x
  2. Step 2: Convert to fraction form
    589.20/884.32 = 384.00/x
  3. Step 3: Cross multiply
    589.20x = 884.32 × 384.00
  4. Step 4: Simplify right side
    589.20x = 339,578.96
  5. Step 5: Solve for x
    x = 339,578.96/589.20
  6. Step 6: Final answer
    x = 576.34

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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.