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Finding the Fourth Proportional to 741.64, 1,112.31 and 279.41

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Solution

The fourth proportional to 741.64, 1,112.31 and 279.41 is: 419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.64 : 1,112.31 = 279.41 : x
  2. Step 2: Convert to fraction form
    741.64/1,112.31 = 279.41/x
  3. Step 3: Cross multiply
    741.64x = 1,112.31 × 279.41
  4. Step 4: Simplify right side
    741.64x = 310,786.36
  5. Step 5: Solve for x
    x = 310,786.36/741.64
  6. Step 6: Final answer
    x = 419.05

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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.