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Finding the Fourth Proportional to 777.25, 1,165.74 and 229.33

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Solution

The fourth proportional to 777.25, 1,165.74 and 229.33 is: 343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.25 : 1,165.74 = 229.33 : x
  2. Step 2: Convert to fraction form
    777.25/1,165.74 = 229.33/x
  3. Step 3: Cross multiply
    777.25x = 1,165.74 × 229.33
  4. Step 4: Simplify right side
    777.25x = 267,341.04
  5. Step 5: Solve for x
    x = 267,341.04/777.25
  6. Step 6: Final answer
    x = 343.96

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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.