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Finding the Fourth Proportional to 418.56, 622.56 and 417.12

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Solution

The fourth proportional to 418.56, 622.56 and 417.12 is: 620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.56 : 622.56 = 417.12 : x
  2. Step 2: Convert to fraction form
    418.56/622.56 = 417.12/x
  3. Step 3: Cross multiply
    418.56x = 622.56 × 417.12
  4. Step 4: Simplify right side
    418.56x = 259,682.23
  5. Step 5: Solve for x
    x = 259,682.23/418.56
  6. Step 6: Final answer
    x = 620.42

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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.