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Finding the Fourth Proportional to 549.01, 823.58 and 447.16

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Solution

The fourth proportional to 549.01, 823.58 and 447.16 is: 670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.01 : 823.58 = 447.16 : x
  2. Step 2: Convert to fraction form
    549.01/823.58 = 447.16/x
  3. Step 3: Cross multiply
    549.01x = 823.58 × 447.16
  4. Step 4: Simplify right side
    549.01x = 368,272.03
  5. Step 5: Solve for x
    x = 368,272.03/549.01
  6. Step 6: Final answer
    x = 670.79

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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.