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Finding the Fourth Proportional to 538.86, 743.74 and 342.33

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Solution

The fourth proportional to 538.86, 743.74 and 342.33 is: 472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.86 : 743.74 = 342.33 : x
  2. Step 2: Convert to fraction form
    538.86/743.74 = 342.33/x
  3. Step 3: Cross multiply
    538.86x = 743.74 × 342.33
  4. Step 4: Simplify right side
    538.86x = 254,604.51
  5. Step 5: Solve for x
    x = 254,604.51/538.86
  6. Step 6: Final answer
    x = 472.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.