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Finding the Fourth Proportional to 589.78, 885.03 and 329.67

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Solution

The fourth proportional to 589.78, 885.03 and 329.67 is: 494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 885.03 = 329.67 : x
  2. Step 2: Convert to fraction form
    589.78/885.03 = 329.67/x
  3. Step 3: Cross multiply
    589.78x = 885.03 × 329.67
  4. Step 4: Simplify right side
    589.78x = 291,766.60
  5. Step 5: Solve for x
    x = 291,766.60/589.78
  6. Step 6: Final answer
    x = 494.70

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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.