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Finding the Fourth Proportional to 622.76, 933.89 and 211.78

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Solution

The fourth proportional to 622.76, 933.89 and 211.78 is: 317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.76 : 933.89 = 211.78 : x
  2. Step 2: Convert to fraction form
    622.76/933.89 = 211.78/x
  3. Step 3: Cross multiply
    622.76x = 933.89 × 211.78
  4. Step 4: Simplify right side
    622.76x = 197,779.33
  5. Step 5: Solve for x
    x = 197,779.33/622.76
  6. Step 6: Final answer
    x = 317.59

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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.