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Finding the Fourth Proportional to 471.87, 707.78 and 289.31

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Solution

The fourth proportional to 471.87, 707.78 and 289.31 is: 433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.87 : 707.78 = 289.31 : x
  2. Step 2: Convert to fraction form
    471.87/707.78 = 289.31/x
  3. Step 3: Cross multiply
    471.87x = 707.78 × 289.31
  4. Step 4: Simplify right side
    471.87x = 204,762.85
  5. Step 5: Solve for x
    x = 204,762.85/471.87
  6. Step 6: Final answer
    x = 433.94

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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.