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Finding the Fourth Proportional to 329.25, 493.85 and 85.79

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Solution

The fourth proportional to 329.25, 493.85 and 85.79 is: 128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.25 : 493.85 = 85.79 : x
  2. Step 2: Convert to fraction form
    329.25/493.85 = 85.79/x
  3. Step 3: Cross multiply
    329.25x = 493.85 × 85.79
  4. Step 4: Simplify right side
    329.25x = 42,364.49
  5. Step 5: Solve for x
    x = 42,364.49/329.25
  6. Step 6: Final answer
    x = 128.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.