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Finding the Fourth Proportional to 622.31, 933.49 and 189.47

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Solution

The fourth proportional to 622.31, 933.49 and 189.47 is: 284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.31 : 933.49 = 189.47 : x
  2. Step 2: Convert to fraction form
    622.31/933.49 = 189.47/x
  3. Step 3: Cross multiply
    622.31x = 933.49 × 189.47
  4. Step 4: Simplify right side
    622.31x = 176,868.35
  5. Step 5: Solve for x
    x = 176,868.35/622.31
  6. Step 6: Final answer
    x = 284.21

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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.