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Finding the Fourth Proportional to 538.59, 743.24 and 302.54

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Solution

The fourth proportional to 538.59, 743.24 and 302.54 is: 417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.59 : 743.24 = 302.54 : x
  2. Step 2: Convert to fraction form
    538.59/743.24 = 302.54/x
  3. Step 3: Cross multiply
    538.59x = 743.24 × 302.54
  4. Step 4: Simplify right side
    538.59x = 224,859.83
  5. Step 5: Solve for x
    x = 224,859.83/538.59
  6. Step 6: Final answer
    x = 417.50

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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.