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Finding the Fourth Proportional to 621.89, 933.06 and 189.05

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Solution

The fourth proportional to 621.89, 933.06 and 189.05 is: 283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.89 : 933.06 = 189.05 : x
  2. Step 2: Convert to fraction form
    621.89/933.06 = 189.05/x
  3. Step 3: Cross multiply
    621.89x = 933.06 × 189.05
  4. Step 4: Simplify right side
    621.89x = 176,390.33
  5. Step 5: Solve for x
    x = 176,390.33/621.89
  6. Step 6: Final answer
    x = 283.64

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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.