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Finding the Fourth Proportional to 508.45, 701.34 and 321.79

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Solution

The fourth proportional to 508.45, 701.34 and 321.79 is: 443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.45 : 701.34 = 321.79 : x
  2. Step 2: Convert to fraction form
    508.45/701.34 = 321.79/x
  3. Step 3: Cross multiply
    508.45x = 701.34 × 321.79
  4. Step 4: Simplify right side
    508.45x = 225,684.20
  5. Step 5: Solve for x
    x = 225,684.20/508.45
  6. Step 6: Final answer
    x = 443.87

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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.