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Finding the Fourth Proportional to 420.44, 631.26 and 365.63

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Solution

The fourth proportional to 420.44, 631.26 and 365.63 is: 548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.44 : 631.26 = 365.63 : x
  2. Step 2: Convert to fraction form
    420.44/631.26 = 365.63/x
  3. Step 3: Cross multiply
    420.44x = 631.26 × 365.63
  4. Step 4: Simplify right side
    420.44x = 230,804.44
  5. Step 5: Solve for x
    x = 230,804.44/420.44
  6. Step 6: Final answer
    x = 548.97

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