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Finding the Fourth Proportional to 418.14, 623.78 and 388.68

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Solution

The fourth proportional to 418.14, 623.78 and 388.68 is: 579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.14 : 623.78 = 388.68 : x
  2. Step 2: Convert to fraction form
    418.14/623.78 = 388.68/x
  3. Step 3: Cross multiply
    418.14x = 623.78 × 388.68
  4. Step 4: Simplify right side
    418.14x = 242,450.81
  5. Step 5: Solve for x
    x = 242,450.81/418.14
  6. Step 6: Final answer
    x = 579.83

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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.