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Finding the Fourth Proportional to 538.67, 743.72 and 414.10

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Solution

The fourth proportional to 538.67, 743.72 and 414.10 is: 571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.67 : 743.72 = 414.10 : x
  2. Step 2: Convert to fraction form
    538.67/743.72 = 414.10/x
  3. Step 3: Cross multiply
    538.67x = 743.72 × 414.10
  4. Step 4: Simplify right side
    538.67x = 307,974.45
  5. Step 5: Solve for x
    x = 307,974.45/538.67
  6. Step 6: Final answer
    x = 571.73

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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.