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Finding the Fourth Proportional to 538.54, 743.42 and 414.15

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Solution

The fourth proportional to 538.54, 743.42 and 414.15 is: 571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.54 : 743.42 = 414.15 : x
  2. Step 2: Convert to fraction form
    538.54/743.42 = 414.15/x
  3. Step 3: Cross multiply
    538.54x = 743.42 × 414.15
  4. Step 4: Simplify right side
    538.54x = 307,885.64
  5. Step 5: Solve for x
    x = 307,885.64/538.54
  6. Step 6: Final answer
    x = 571.71

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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.