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Finding the Fourth Proportional to 351.20, 525.78 and 277.57

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Solution

The fourth proportional to 351.20, 525.78 and 277.57 is: 415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.20 : 525.78 = 277.57 : x
  2. Step 2: Convert to fraction form
    351.20/525.78 = 277.57/x
  3. Step 3: Cross multiply
    351.20x = 525.78 × 277.57
  4. Step 4: Simplify right side
    351.20x = 145,939.44
  5. Step 5: Solve for x
    x = 145,939.44/351.20
  6. Step 6: Final answer
    x = 415.54

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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.