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Finding the Fourth Proportional to 589.56, 884.33 and 347.62

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Solution

The fourth proportional to 589.56, 884.33 and 347.62 is: 521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.56 : 884.33 = 347.62 : x
  2. Step 2: Convert to fraction form
    589.56/884.33 = 347.62/x
  3. Step 3: Cross multiply
    589.56x = 884.33 × 347.62
  4. Step 4: Simplify right side
    589.56x = 307,410.79
  5. Step 5: Solve for x
    x = 307,410.79/589.56
  6. Step 6: Final answer
    x = 521.42

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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.