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Finding the Fourth Proportional to 538.97, 743.60 and 302.88

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Solution

The fourth proportional to 538.97, 743.60 and 302.88 is: 417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.97 : 743.60 = 302.88 : x
  2. Step 2: Convert to fraction form
    538.97/743.60 = 302.88/x
  3. Step 3: Cross multiply
    538.97x = 743.60 × 302.88
  4. Step 4: Simplify right side
    538.97x = 225,221.57
  5. Step 5: Solve for x
    x = 225,221.57/538.97
  6. Step 6: Final answer
    x = 417.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.