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Finding the Fourth Proportional to 416.80, 622.16 and 389.44

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Solution

The fourth proportional to 416.80, 622.16 and 389.44 is: 581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.80 : 622.16 = 389.44 : x
  2. Step 2: Convert to fraction form
    416.80/622.16 = 389.44/x
  3. Step 3: Cross multiply
    416.80x = 622.16 × 389.44
  4. Step 4: Simplify right side
    416.80x = 242,293.99
  5. Step 5: Solve for x
    x = 242,293.99/416.80
  6. Step 6: Final answer
    x = 581.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.