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Finding the Fourth Proportional to 622.26, 933.42 and 211.42

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Solution

The fourth proportional to 622.26, 933.42 and 211.42 is: 317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 933.42 = 211.42 : x
  2. Step 2: Convert to fraction form
    622.26/933.42 = 211.42/x
  3. Step 3: Cross multiply
    622.26x = 933.42 × 211.42
  4. Step 4: Simplify right side
    622.26x = 197,343.66
  5. Step 5: Solve for x
    x = 197,343.66/622.26
  6. Step 6: Final answer
    x = 317.14

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