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Finding the Fourth Proportional to 416.73, 628.08 and 412.62

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Solution

The fourth proportional to 416.73, 628.08 and 412.62 is: 621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.73 : 628.08 = 412.62 : x
  2. Step 2: Convert to fraction form
    416.73/628.08 = 412.62/x
  3. Step 3: Cross multiply
    416.73x = 628.08 × 412.62
  4. Step 4: Simplify right side
    416.73x = 259,158.37
  5. Step 5: Solve for x
    x = 259,158.37/416.73
  6. Step 6: Final answer
    x = 621.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.