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Finding the Fourth Proportional to 622.89, 934.47 and 238.14

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Solution

The fourth proportional to 622.89, 934.47 and 238.14 is: 357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.89 : 934.47 = 238.14 : x
  2. Step 2: Convert to fraction form
    622.89/934.47 = 238.14/x
  3. Step 3: Cross multiply
    622.89x = 934.47 × 238.14
  4. Step 4: Simplify right side
    622.89x = 222,534.69
  5. Step 5: Solve for x
    x = 222,534.69/622.89
  6. Step 6: Final answer
    x = 357.26

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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.