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Finding the Fourth Proportional to 578.70, 867.45 and 289.98

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Solution

The fourth proportional to 578.70, 867.45 and 289.98 is: 434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.70 : 867.45 = 289.98 : x
  2. Step 2: Convert to fraction form
    578.70/867.45 = 289.98/x
  3. Step 3: Cross multiply
    578.70x = 867.45 × 289.98
  4. Step 4: Simplify right side
    578.70x = 251,543.15
  5. Step 5: Solve for x
    x = 251,543.15/578.70
  6. Step 6: Final answer
    x = 434.67

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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.