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Finding the Fourth Proportional to 906.69, 1,360.25 and 257.41

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Solution

The fourth proportional to 906.69, 1,360.25 and 257.41 is: 386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.69 : 1,360.25 = 257.41 : x
  2. Step 2: Convert to fraction form
    906.69/1,360.25 = 257.41/x
  3. Step 3: Cross multiply
    906.69x = 1,360.25 × 257.41
  4. Step 4: Simplify right side
    906.69x = 350,141.95
  5. Step 5: Solve for x
    x = 350,141.95/906.69
  6. Step 6: Final answer
    x = 386.18

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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.