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Finding the Fourth Proportional to 622.53, 933.89 and 257.11

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Solution

The fourth proportional to 622.53, 933.89 and 257.11 is: 385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.53 : 933.89 = 257.11 : x
  2. Step 2: Convert to fraction form
    622.53/933.89 = 257.11/x
  3. Step 3: Cross multiply
    622.53x = 933.89 × 257.11
  4. Step 4: Simplify right side
    622.53x = 240,115.44
  5. Step 5: Solve for x
    x = 240,115.44/622.53
  6. Step 6: Final answer
    x = 385.71

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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.