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Finding the Fourth Proportional to 556.77, 768.30 and 320.70

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Solution

The fourth proportional to 556.77, 768.30 and 320.70 is: 442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.77 : 768.30 = 320.70 : x
  2. Step 2: Convert to fraction form
    556.77/768.30 = 320.70/x
  3. Step 3: Cross multiply
    556.77x = 768.30 × 320.70
  4. Step 4: Simplify right side
    556.77x = 246,389.97
  5. Step 5: Solve for x
    x = 246,389.97/556.77
  6. Step 6: Final answer
    x = 442.54

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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.