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Finding the Fourth Proportional to 447.21, 618.30 and 427.41

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Solution

The fourth proportional to 447.21, 618.30 and 427.41 is: 590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.21 : 618.30 = 427.41 : x
  2. Step 2: Convert to fraction form
    447.21/618.30 = 427.41/x
  3. Step 3: Cross multiply
    447.21x = 618.30 × 427.41
  4. Step 4: Simplify right side
    447.21x = 264,267.60
  5. Step 5: Solve for x
    x = 264,267.60/447.21
  6. Step 6: Final answer
    x = 590.93

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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.