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Finding the Fourth Proportional to 556.82, 768.36 and 320.81

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Solution

The fourth proportional to 556.82, 768.36 and 320.81 is: 442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.82 : 768.36 = 320.81 : x
  2. Step 2: Convert to fraction form
    556.82/768.36 = 320.81/x
  3. Step 3: Cross multiply
    556.82x = 768.36 × 320.81
  4. Step 4: Simplify right side
    556.82x = 246,497.57
  5. Step 5: Solve for x
    x = 246,497.57/556.82
  6. Step 6: Final answer
    x = 442.69

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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.