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Finding the Fourth Proportional to 777.31, 1,165.86 and 229.55

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Solution

The fourth proportional to 777.31, 1,165.86 and 229.55 is: 344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.31 : 1,165.86 = 229.55 : x
  2. Step 2: Convert to fraction form
    777.31/1,165.86 = 229.55/x
  3. Step 3: Cross multiply
    777.31x = 1,165.86 × 229.55
  4. Step 4: Simplify right side
    777.31x = 267,623.16
  5. Step 5: Solve for x
    x = 267,623.16/777.31
  6. Step 6: Final answer
    x = 344.29

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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.