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Finding the Fourth Proportional to 538.72, 743.78 and 414.16

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Solution

The fourth proportional to 538.72, 743.78 and 414.16 is: 571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.72 : 743.78 = 414.16 : x
  2. Step 2: Convert to fraction form
    538.72/743.78 = 414.16/x
  3. Step 3: Cross multiply
    538.72x = 743.78 × 414.16
  4. Step 4: Simplify right side
    538.72x = 308,043.10
  5. Step 5: Solve for x
    x = 308,043.10/538.72
  6. Step 6: Final answer
    x = 571.81

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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.