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Finding the Fourth Proportional to 741.23, 1,112.27 and 302.39

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Solution

The fourth proportional to 741.23, 1,112.27 and 302.39 is: 453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.23 : 1,112.27 = 302.39 : x
  2. Step 2: Convert to fraction form
    741.23/1,112.27 = 302.39/x
  3. Step 3: Cross multiply
    741.23x = 1,112.27 × 302.39
  4. Step 4: Simplify right side
    741.23x = 336,339.33
  5. Step 5: Solve for x
    x = 336,339.33/741.23
  6. Step 6: Final answer
    x = 453.76

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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.