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Finding the Fourth Proportional to 549.45, 822.24 and 365.94

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Solution

The fourth proportional to 549.45, 822.24 and 365.94 is: 547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.45 : 822.24 = 365.94 : x
  2. Step 2: Convert to fraction form
    549.45/822.24 = 365.94/x
  3. Step 3: Cross multiply
    549.45x = 822.24 × 365.94
  4. Step 4: Simplify right side
    549.45x = 300,890.51
  5. Step 5: Solve for x
    x = 300,890.51/549.45
  6. Step 6: Final answer
    x = 547.62

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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.