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Finding the Fourth Proportional to 549.53, 822.36 and 450.84

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Solution

The fourth proportional to 549.53, 822.36 and 450.84 is: 674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.53 : 822.36 = 450.84 : x
  2. Step 2: Convert to fraction form
    549.53/822.36 = 450.84/x
  3. Step 3: Cross multiply
    549.53x = 822.36 × 450.84
  4. Step 4: Simplify right side
    549.53x = 370,752.78
  5. Step 5: Solve for x
    x = 370,752.78/549.53
  6. Step 6: Final answer
    x = 674.67

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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.