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Finding the Fourth Proportional to 538.48, 743.52 and 342.34

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Solution

The fourth proportional to 538.48, 743.52 and 342.34 is: 472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.48 : 743.52 = 342.34 : x
  2. Step 2: Convert to fraction form
    538.48/743.52 = 342.34/x
  3. Step 3: Cross multiply
    538.48x = 743.52 × 342.34
  4. Step 4: Simplify right side
    538.48x = 254,536.64
  5. Step 5: Solve for x
    x = 254,536.64/538.48
  6. Step 6: Final answer
    x = 472.69

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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.