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Finding the Fourth Proportional to 421.64, 627.96 and 419.22

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Solution

The fourth proportional to 421.64, 627.96 and 419.22 is: 624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.64 : 627.96 = 419.22 : x
  2. Step 2: Convert to fraction form
    421.64/627.96 = 419.22/x
  3. Step 3: Cross multiply
    421.64x = 627.96 × 419.22
  4. Step 4: Simplify right side
    421.64x = 263,253.39
  5. Step 5: Solve for x
    x = 263,253.39/421.64
  6. Step 6: Final answer
    x = 624.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.