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Finding the Fourth Proportional to 556.44, 768.12 and 380.34

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Solution

The fourth proportional to 556.44, 768.12 and 380.34 is: 525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.44 : 768.12 = 380.34 : x
  2. Step 2: Convert to fraction form
    556.44/768.12 = 380.34/x
  3. Step 3: Cross multiply
    556.44x = 768.12 × 380.34
  4. Step 4: Simplify right side
    556.44x = 292,146.76
  5. Step 5: Solve for x
    x = 292,146.76/556.44
  6. Step 6: Final answer
    x = 525.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.