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Finding the Fourth Proportional to 741.72, 1,112.58 and 279.24

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Solution

The fourth proportional to 741.72, 1,112.58 and 279.24 is: 418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.72 : 1,112.58 = 279.24 : x
  2. Step 2: Convert to fraction form
    741.72/1,112.58 = 279.24/x
  3. Step 3: Cross multiply
    741.72x = 1,112.58 × 279.24
  4. Step 4: Simplify right side
    741.72x = 310,676.84
  5. Step 5: Solve for x
    x = 310,676.84/741.72
  6. Step 6: Final answer
    x = 418.86

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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.