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Finding the Fourth Proportional to 419.14, 626.23 and 404.78

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Solution

The fourth proportional to 419.14, 626.23 and 404.78 is: 604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.14 : 626.23 = 404.78 : x
  2. Step 2: Convert to fraction form
    419.14/626.23 = 404.78/x
  3. Step 3: Cross multiply
    419.14x = 626.23 × 404.78
  4. Step 4: Simplify right side
    419.14x = 253,485.93
  5. Step 5: Solve for x
    x = 253,485.93/419.14
  6. Step 6: Final answer
    x = 604.78

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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.