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Finding the Fourth Proportional to 587.99, 882.09 and 382.94

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Solution

The fourth proportional to 587.99, 882.09 and 382.94 is: 574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.99 : 882.09 = 382.94 : x
  2. Step 2: Convert to fraction form
    587.99/882.09 = 382.94/x
  3. Step 3: Cross multiply
    587.99x = 882.09 × 382.94
  4. Step 4: Simplify right side
    587.99x = 337,787.54
  5. Step 5: Solve for x
    x = 337,787.54/587.99
  6. Step 6: Final answer
    x = 574.48

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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.