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Finding the Fourth Proportional to 620.24, 930.30 and 187.46

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Solution

The fourth proportional to 620.24, 930.30 and 187.46 is: 281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.24 : 930.30 = 187.46 : x
  2. Step 2: Convert to fraction form
    620.24/930.30 = 187.46/x
  3. Step 3: Cross multiply
    620.24x = 930.30 × 187.46
  4. Step 4: Simplify right side
    620.24x = 174,394.04
  5. Step 5: Solve for x
    x = 174,394.04/620.24
  6. Step 6: Final answer
    x = 281.17

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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.