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Finding the Fourth Proportional to 538.97, 743.50 and 407.75

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Solution

The fourth proportional to 538.97, 743.50 and 407.75 is: 562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.97 : 743.50 = 407.75 : x
  2. Step 2: Convert to fraction form
    538.97/743.50 = 407.75/x
  3. Step 3: Cross multiply
    538.97x = 743.50 × 407.75
  4. Step 4: Simplify right side
    538.97x = 303,164.49
  5. Step 5: Solve for x
    x = 303,164.49/538.97
  6. Step 6: Final answer
    x = 562.49

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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.