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Finding the Fourth Proportional to 549.34, 822.08 and 450.65

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Solution

The fourth proportional to 549.34, 822.08 and 450.65 is: 674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.34 : 822.08 = 450.65 : x
  2. Step 2: Convert to fraction form
    549.34/822.08 = 450.65/x
  3. Step 3: Cross multiply
    549.34x = 822.08 × 450.65
  4. Step 4: Simplify right side
    549.34x = 370,473.53
  5. Step 5: Solve for x
    x = 370,473.53/549.34
  6. Step 6: Final answer
    x = 674.40

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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.