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Finding the Fourth Proportional to 419.16, 627.83 and 236.31

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Solution

The fourth proportional to 419.16, 627.83 and 236.31 is: 353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.16 : 627.83 = 236.31 : x
  2. Step 2: Convert to fraction form
    419.16/627.83 = 236.31/x
  3. Step 3: Cross multiply
    419.16x = 627.83 × 236.31
  4. Step 4: Simplify right side
    419.16x = 148,362.51
  5. Step 5: Solve for x
    x = 148,362.51/419.16
  6. Step 6: Final answer
    x = 353.95

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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.