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Finding the Fourth Proportional to 811.62, 1,216.92 and 378.36

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Solution

The fourth proportional to 811.62, 1,216.92 and 378.36 is: 567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.62 : 1,216.92 = 378.36 : x
  2. Step 2: Convert to fraction form
    811.62/1,216.92 = 378.36/x
  3. Step 3: Cross multiply
    811.62x = 1,216.92 × 378.36
  4. Step 4: Simplify right side
    811.62x = 460,433.85
  5. Step 5: Solve for x
    x = 460,433.85/811.62
  6. Step 6: Final answer
    x = 567.30

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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.