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Finding the Fourth Proportional to 622.82, 934.36 and 238.06

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Solution

The fourth proportional to 622.82, 934.36 and 238.06 is: 357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.82 : 934.36 = 238.06 : x
  2. Step 2: Convert to fraction form
    622.82/934.36 = 238.06/x
  3. Step 3: Cross multiply
    622.82x = 934.36 × 238.06
  4. Step 4: Simplify right side
    622.82x = 222,433.74
  5. Step 5: Solve for x
    x = 222,433.74/622.82
  6. Step 6: Final answer
    x = 357.14

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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.