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Finding the Fourth Proportional to 538.82, 806.63 and 365.03

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Solution

The fourth proportional to 538.82, 806.63 and 365.03 is: 546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.82 : 806.63 = 365.03 : x
  2. Step 2: Convert to fraction form
    538.82/806.63 = 365.03/x
  3. Step 3: Cross multiply
    538.82x = 806.63 × 365.03
  4. Step 4: Simplify right side
    538.82x = 294,440.12
  5. Step 5: Solve for x
    x = 294,440.12/538.82
  6. Step 6: Final answer
    x = 546.46

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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.