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Finding the Fourth Proportional to 589.05, 882.19 and 467.38

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Solution

The fourth proportional to 589.05, 882.19 and 467.38 is: 699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.05 : 882.19 = 467.38 : x
  2. Step 2: Convert to fraction form
    589.05/882.19 = 467.38/x
  3. Step 3: Cross multiply
    589.05x = 882.19 × 467.38
  4. Step 4: Simplify right side
    589.05x = 412,317.96
  5. Step 5: Solve for x
    x = 412,317.96/589.05
  6. Step 6: Final answer
    x = 699.97

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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.