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Finding the Fourth Proportional to 589.50, 882.27 and 576.09

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Solution

The fourth proportional to 589.50, 882.27 and 576.09 is: 862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.50 : 882.27 = 576.09 : x
  2. Step 2: Convert to fraction form
    589.50/882.27 = 576.09/x
  3. Step 3: Cross multiply
    589.50x = 882.27 × 576.09
  4. Step 4: Simplify right side
    589.50x = 508,266.92
  5. Step 5: Solve for x
    x = 508,266.92/589.50
  6. Step 6: Final answer
    x = 862.20

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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.