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Finding the Fourth Proportional to 628.87, 942.94 and 258.57

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Solution

The fourth proportional to 628.87, 942.94 and 258.57 is: 387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.87 : 942.94 = 258.57 : x
  2. Step 2: Convert to fraction form
    628.87/942.94 = 258.57/x
  3. Step 3: Cross multiply
    628.87x = 942.94 × 258.57
  4. Step 4: Simplify right side
    628.87x = 243,815.35
  5. Step 5: Solve for x
    x = 243,815.35/628.87
  6. Step 6: Final answer
    x = 387.71

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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.