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Finding the Fourth Proportional to 741.82, 1,112.49 and 279.58

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Solution

The fourth proportional to 741.82, 1,112.49 and 279.58 is: 419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.82 : 1,112.49 = 279.58 : x
  2. Step 2: Convert to fraction form
    741.82/1,112.49 = 279.58/x
  3. Step 3: Cross multiply
    741.82x = 1,112.49 × 279.58
  4. Step 4: Simplify right side
    741.82x = 311,029.95
  5. Step 5: Solve for x
    x = 311,029.95/741.82
  6. Step 6: Final answer
    x = 419.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.