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Finding the Fourth Proportional to 588.57, 882.87 and 478.37

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Solution

The fourth proportional to 588.57, 882.87 and 478.37 is: 717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.57 : 882.87 = 478.37 : x
  2. Step 2: Convert to fraction form
    588.57/882.87 = 478.37/x
  3. Step 3: Cross multiply
    588.57x = 882.87 × 478.37
  4. Step 4: Simplify right side
    588.57x = 422,334.11
  5. Step 5: Solve for x
    x = 422,334.11/588.57
  6. Step 6: Final answer
    x = 717.56

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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.