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Finding the Fourth Proportional to 538.46, 743.09 and 421.82

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Solution

The fourth proportional to 538.46, 743.09 and 421.82 is: 582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.46 : 743.09 = 421.82 : x
  2. Step 2: Convert to fraction form
    538.46/743.09 = 421.82/x
  3. Step 3: Cross multiply
    538.46x = 743.09 × 421.82
  4. Step 4: Simplify right side
    538.46x = 313,446.51
  5. Step 5: Solve for x
    x = 313,446.51/538.46
  6. Step 6: Final answer
    x = 582.12

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Why These Related Problems?

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