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Finding the Fourth Proportional to 842.28, 1,263.66 and 257.33

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Solution

The fourth proportional to 842.28, 1,263.66 and 257.33 is: 386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.28 : 1,263.66 = 257.33 : x
  2. Step 2: Convert to fraction form
    842.28/1,263.66 = 257.33/x
  3. Step 3: Cross multiply
    842.28x = 1,263.66 × 257.33
  4. Step 4: Simplify right side
    842.28x = 325,171.31
  5. Step 5: Solve for x
    x = 325,171.31/842.28
  6. Step 6: Final answer
    x = 386.06

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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.