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Finding the Fourth Proportional to 883.42, 1,324.91 and 363.57

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Solution

The fourth proportional to 883.42, 1,324.91 and 363.57 is: 545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.42 : 1,324.91 = 363.57 : x
  2. Step 2: Convert to fraction form
    883.42/1,324.91 = 363.57/x
  3. Step 3: Cross multiply
    883.42x = 1,324.91 × 363.57
  4. Step 4: Simplify right side
    883.42x = 481,689.09
  5. Step 5: Solve for x
    x = 481,689.09/883.42
  6. Step 6: Final answer
    x = 545.25

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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.