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Finding the Fourth Proportional to 882.42, 1,324.05 and 395.34

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Solution

The fourth proportional to 882.42, 1,324.05 and 395.34 is: 593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.42 : 1,324.05 = 395.34 : x
  2. Step 2: Convert to fraction form
    882.42/1,324.05 = 395.34/x
  3. Step 3: Cross multiply
    882.42x = 1,324.05 × 395.34
  4. Step 4: Simplify right side
    882.42x = 523,449.93
  5. Step 5: Solve for x
    x = 523,449.93/882.42
  6. Step 6: Final answer
    x = 593.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.