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Finding the Fourth Proportional to 557.01, 768.69 and 320.96

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Solution

The fourth proportional to 557.01, 768.69 and 320.96 is: 442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.01 : 768.69 = 320.96 : x
  2. Step 2: Convert to fraction form
    557.01/768.69 = 320.96/x
  3. Step 3: Cross multiply
    557.01x = 768.69 × 320.96
  4. Step 4: Simplify right side
    557.01x = 246,720.66
  5. Step 5: Solve for x
    x = 246,720.66/557.01
  6. Step 6: Final answer
    x = 442.94

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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.