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Finding the Fourth Proportional to 419.25, 627.72 and 316.22

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Solution

The fourth proportional to 419.25, 627.72 and 316.22 is: 473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.25 : 627.72 = 316.22 : x
  2. Step 2: Convert to fraction form
    419.25/627.72 = 316.22/x
  3. Step 3: Cross multiply
    419.25x = 627.72 × 316.22
  4. Step 4: Simplify right side
    419.25x = 198,497.62
  5. Step 5: Solve for x
    x = 198,497.62/419.25
  6. Step 6: Final answer
    x = 473.46

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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.