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Finding the Fourth Proportional to 538.92, 743.58 and 364.50

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Solution

The fourth proportional to 538.92, 743.58 and 364.50 is: 502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.92 : 743.58 = 364.50 : x
  2. Step 2: Convert to fraction form
    538.92/743.58 = 364.50/x
  3. Step 3: Cross multiply
    538.92x = 743.58 × 364.50
  4. Step 4: Simplify right side
    538.92x = 271,034.91
  5. Step 5: Solve for x
    x = 271,034.91/538.92
  6. Step 6: Final answer
    x = 502.92

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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.