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Finding the Fourth Proportional to 538.57, 743.35 and 305.83

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Solution

The fourth proportional to 538.57, 743.35 and 305.83 is: 422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.57 : 743.35 = 305.83 : x
  2. Step 2: Convert to fraction form
    538.57/743.35 = 305.83/x
  3. Step 3: Cross multiply
    538.57x = 743.35 × 305.83
  4. Step 4: Simplify right side
    538.57x = 227,335.01
  5. Step 5: Solve for x
    x = 227,335.01/538.57
  6. Step 6: Final answer
    x = 422.11

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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.