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Finding the Fourth Proportional to 845.71, 1,268.57 and 229.42

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Solution

The fourth proportional to 845.71, 1,268.57 and 229.42 is: 344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.71 : 1,268.57 = 229.42 : x
  2. Step 2: Convert to fraction form
    845.71/1,268.57 = 229.42/x
  3. Step 3: Cross multiply
    845.71x = 1,268.57 × 229.42
  4. Step 4: Simplify right side
    845.71x = 291,027.84
  5. Step 5: Solve for x
    x = 291,027.84/845.71
  6. Step 6: Final answer
    x = 344.12

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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.