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Finding the Fourth Proportional to 556.46, 768.06 and 335.60

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Solution

The fourth proportional to 556.46, 768.06 and 335.60 is: 463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.46 : 768.06 = 335.60 : x
  2. Step 2: Convert to fraction form
    556.46/768.06 = 335.60/x
  3. Step 3: Cross multiply
    556.46x = 768.06 × 335.60
  4. Step 4: Simplify right side
    556.46x = 257,760.94
  5. Step 5: Solve for x
    x = 257,760.94/556.46
  6. Step 6: Final answer
    x = 463.22

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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.