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Finding the Fourth Proportional to 538.26, 806.82 and 353.10

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Solution

The fourth proportional to 538.26, 806.82 and 353.10 is: 529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.26 : 806.82 = 353.10 : x
  2. Step 2: Convert to fraction form
    538.26/806.82 = 353.10/x
  3. Step 3: Cross multiply
    538.26x = 806.82 × 353.10
  4. Step 4: Simplify right side
    538.26x = 284,888.14
  5. Step 5: Solve for x
    x = 284,888.14/538.26
  6. Step 6: Final answer
    x = 529.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.