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Finding the Fourth Proportional to 741.48, 1,112.22 and 228.52

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Solution

The fourth proportional to 741.48, 1,112.22 and 228.52 is: 342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.48 : 1,112.22 = 228.52 : x
  2. Step 2: Convert to fraction form
    741.48/1,112.22 = 228.52/x
  3. Step 3: Cross multiply
    741.48x = 1,112.22 × 228.52
  4. Step 4: Simplify right side
    741.48x = 254,164.51
  5. Step 5: Solve for x
    x = 254,164.51/741.48
  6. Step 6: Final answer
    x = 342.78

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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.