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Finding the Fourth Proportional to 538.64, 743.97 and 415.79

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Solution

The fourth proportional to 538.64, 743.97 and 415.79 is: 574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.64 : 743.97 = 415.79 : x
  2. Step 2: Convert to fraction form
    538.64/743.97 = 415.79/x
  3. Step 3: Cross multiply
    538.64x = 743.97 × 415.79
  4. Step 4: Simplify right side
    538.64x = 309,331.57
  5. Step 5: Solve for x
    x = 309,331.57/538.64
  6. Step 6: Final answer
    x = 574.29

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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.