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Finding the Fourth Proportional to 549.01, 822.32 and 274.62

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Solution

The fourth proportional to 549.01, 822.32 and 274.62 is: 411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.01 : 822.32 = 274.62 : x
  2. Step 2: Convert to fraction form
    549.01/822.32 = 274.62/x
  3. Step 3: Cross multiply
    549.01x = 822.32 × 274.62
  4. Step 4: Simplify right side
    549.01x = 225,828.26
  5. Step 5: Solve for x
    x = 225,828.26/549.01
  6. Step 6: Final answer
    x = 411.34

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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.