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Finding the Fourth Proportional to 597.14, 822.69 and 447.11

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Solution

The fourth proportional to 597.14, 822.69 and 447.11 is: 615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.14 : 822.69 = 447.11 : x
  2. Step 2: Convert to fraction form
    597.14/822.69 = 447.11/x
  3. Step 3: Cross multiply
    597.14x = 822.69 × 447.11
  4. Step 4: Simplify right side
    597.14x = 367,832.93
  5. Step 5: Solve for x
    x = 367,832.93/597.14
  6. Step 6: Final answer
    x = 615.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.