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Finding the Fourth Proportional to 588.22, 882.63 and 263.62

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Solution

The fourth proportional to 588.22, 882.63 and 263.62 is: 395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.22 : 882.63 = 263.62 : x
  2. Step 2: Convert to fraction form
    588.22/882.63 = 263.62/x
  3. Step 3: Cross multiply
    588.22x = 882.63 × 263.62
  4. Step 4: Simplify right side
    588.22x = 232,678.92
  5. Step 5: Solve for x
    x = 232,678.92/588.22
  6. Step 6: Final answer
    x = 395.56

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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.