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Finding the Fourth Proportional to 589.44, 883.84 and 384

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Solution

The fourth proportional to 589.44, 883.84 and 384 is: 575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.44 : 883.84 = 384 : x
  2. Step 2: Convert to fraction form
    589.44/883.84 = 384/x
  3. Step 3: Cross multiply
    589.44x = 883.84 × 384
  4. Step 4: Simplify right side
    589.44x = 339,394.56
  5. Step 5: Solve for x
    x = 339,394.56/589.44
  6. Step 6: Final answer
    x = 575.79

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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.