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Finding the Fourth Proportional to 538.90, 743.68 and 306.02

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Solution

The fourth proportional to 538.90, 743.68 and 306.02 is: 422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.90 : 743.68 = 306.02 : x
  2. Step 2: Convert to fraction form
    538.90/743.68 = 306.02/x
  3. Step 3: Cross multiply
    538.90x = 743.68 × 306.02
  4. Step 4: Simplify right side
    538.90x = 227,579.42
  5. Step 5: Solve for x
    x = 227,579.42/538.90
  6. Step 6: Final answer
    x = 422.31

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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.