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Finding the Fourth Proportional to 904.09, 1,355.97 and 254.82

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Solution

The fourth proportional to 904.09, 1,355.97 and 254.82 is: 382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.09 : 1,355.97 = 254.82 : x
  2. Step 2: Convert to fraction form
    904.09/1,355.97 = 254.82/x
  3. Step 3: Cross multiply
    904.09x = 1,355.97 × 254.82
  4. Step 4: Simplify right side
    904.09x = 345,528.28
  5. Step 5: Solve for x
    x = 345,528.28/904.09
  6. Step 6: Final answer
    x = 382.18

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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.