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Finding the Fourth Proportional to 914.25, 1,371.38 and 230.25

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Solution

The fourth proportional to 914.25, 1,371.38 and 230.25 is: 345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.25 : 1,371.38 = 230.25 : x
  2. Step 2: Convert to fraction form
    914.25/1,371.38 = 230.25/x
  3. Step 3: Cross multiply
    914.25x = 1,371.38 × 230.25
  4. Step 4: Simplify right side
    914.25x = 315,759.09
  5. Step 5: Solve for x
    x = 315,759.09/914.25
  6. Step 6: Final answer
    x = 345.38

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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.