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Finding the Fourth Proportional to 589.78, 884.31 and 427.60

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Solution

The fourth proportional to 589.78, 884.31 and 427.60 is: 641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 884.31 = 427.60 : x
  2. Step 2: Convert to fraction form
    589.78/884.31 = 427.60/x
  3. Step 3: Cross multiply
    589.78x = 884.31 × 427.60
  4. Step 4: Simplify right side
    589.78x = 378,130.96
  5. Step 5: Solve for x
    x = 378,130.96/589.78
  6. Step 6: Final answer
    x = 641.14

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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.