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Finding the Fourth Proportional to 556.96, 768.49 and 320.92

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Solution

The fourth proportional to 556.96, 768.49 and 320.92 is: 442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.96 : 768.49 = 320.92 : x
  2. Step 2: Convert to fraction form
    556.96/768.49 = 320.92/x
  3. Step 3: Cross multiply
    556.96x = 768.49 × 320.92
  4. Step 4: Simplify right side
    556.96x = 246,623.81
  5. Step 5: Solve for x
    x = 246,623.81/556.96
  6. Step 6: Final answer
    x = 442.80

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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.