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Finding the Fourth Proportional to 557.72, 769.54 and 321.64

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Solution

The fourth proportional to 557.72, 769.54 and 321.64 is: 443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.72 : 769.54 = 321.64 : x
  2. Step 2: Convert to fraction form
    557.72/769.54 = 321.64/x
  3. Step 3: Cross multiply
    557.72x = 769.54 × 321.64
  4. Step 4: Simplify right side
    557.72x = 247,514.85
  5. Step 5: Solve for x
    x = 247,514.85/557.72
  6. Step 6: Final answer
    x = 443.80

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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.