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Finding the Fourth Proportional to 578.39, 867.18 and 289.67

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Solution

The fourth proportional to 578.39, 867.18 and 289.67 is: 434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.39 : 867.18 = 289.67 : x
  2. Step 2: Convert to fraction form
    578.39/867.18 = 289.67/x
  3. Step 3: Cross multiply
    578.39x = 867.18 × 289.67
  4. Step 4: Simplify right side
    578.39x = 251,196.03
  5. Step 5: Solve for x
    x = 251,196.03/578.39
  6. Step 6: Final answer
    x = 434.30

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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.