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Finding the Fourth Proportional to 515.25, 771.75 and 378.54

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Solution

The fourth proportional to 515.25, 771.75 and 378.54 is: 566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.25 : 771.75 = 378.54 : x
  2. Step 2: Convert to fraction form
    515.25/771.75 = 378.54/x
  3. Step 3: Cross multiply
    515.25x = 771.75 × 378.54
  4. Step 4: Simplify right side
    515.25x = 292,138.25
  5. Step 5: Solve for x
    x = 292,138.25/515.25
  6. Step 6: Final answer
    x = 566.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.