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Finding the Fourth Proportional to 423.06, 629.46 and 421.56

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Solution

The fourth proportional to 423.06, 629.46 and 421.56 is: 627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.06 : 629.46 = 421.56 : x
  2. Step 2: Convert to fraction form
    423.06/629.46 = 421.56/x
  3. Step 3: Cross multiply
    423.06x = 629.46 × 421.56
  4. Step 4: Simplify right side
    423.06x = 265,355.16
  5. Step 5: Solve for x
    x = 265,355.16/423.06
  6. Step 6: Final answer
    x = 627.23

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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.