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Finding the Fourth Proportional to 882.35, 1,323.96 and 395.27

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Solution

The fourth proportional to 882.35, 1,323.96 and 395.27 is: 593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.35 : 1,323.96 = 395.27 : x
  2. Step 2: Convert to fraction form
    882.35/1,323.96 = 395.27/x
  3. Step 3: Cross multiply
    882.35x = 1,323.96 × 395.27
  4. Step 4: Simplify right side
    882.35x = 523,321.67
  5. Step 5: Solve for x
    x = 523,321.67/882.35
  6. Step 6: Final answer
    x = 593.10

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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.