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Finding the Fourth Proportional to 628.14, 942.42 and 422.16

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Solution

The fourth proportional to 628.14, 942.42 and 422.16 is: 633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.14 : 942.42 = 422.16 : x
  2. Step 2: Convert to fraction form
    628.14/942.42 = 422.16/x
  3. Step 3: Cross multiply
    628.14x = 942.42 × 422.16
  4. Step 4: Simplify right side
    628.14x = 397,852.03
  5. Step 5: Solve for x
    x = 397,852.03/628.14
  6. Step 6: Final answer
    x = 633.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.