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Finding the Fourth Proportional to 793.64, 1,190.32 and 216.40

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Solution

The fourth proportional to 793.64, 1,190.32 and 216.40 is: 324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.64 : 1,190.32 = 216.40 : x
  2. Step 2: Convert to fraction form
    793.64/1,190.32 = 216.40/x
  3. Step 3: Cross multiply
    793.64x = 1,190.32 × 216.40
  4. Step 4: Simplify right side
    793.64x = 257,585.25
  5. Step 5: Solve for x
    x = 257,585.25/793.64
  6. Step 6: Final answer
    x = 324.56

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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.