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Finding the Fourth Proportional to 419.48, 629.74 and 237.02

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Solution

The fourth proportional to 419.48, 629.74 and 237.02 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.48 : 629.74 = 237.02 : x
  2. Step 2: Convert to fraction form
    419.48/629.74 = 237.02/x
  3. Step 3: Cross multiply
    419.48x = 629.74 × 237.02
  4. Step 4: Simplify right side
    419.48x = 149,260.97
  5. Step 5: Solve for x
    x = 149,260.97/419.48
  6. Step 6: Final answer
    x = 355.82

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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.