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Finding the Fourth Proportional to 447.58, 672.18 and 427.06

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Solution

The fourth proportional to 447.58, 672.18 and 427.06 is: 641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.58 : 672.18 = 427.06 : x
  2. Step 2: Convert to fraction form
    447.58/672.18 = 427.06/x
  3. Step 3: Cross multiply
    447.58x = 672.18 × 427.06
  4. Step 4: Simplify right side
    447.58x = 287,061.19
  5. Step 5: Solve for x
    x = 287,061.19/447.58
  6. Step 6: Final answer
    x = 641.36

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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.