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Finding the Fourth Proportional to 589.05, 882.99 and 223.74

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Solution

The fourth proportional to 589.05, 882.99 and 223.74 is: 335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.05 : 882.99 = 223.74 : x
  2. Step 2: Convert to fraction form
    589.05/882.99 = 223.74/x
  3. Step 3: Cross multiply
    589.05x = 882.99 × 223.74
  4. Step 4: Simplify right side
    589.05x = 197,560.18
  5. Step 5: Solve for x
    x = 197,560.18/589.05
  6. Step 6: Final answer
    x = 335.39

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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.