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Finding the Fourth Proportional to 471.98, 706.44 and 289.74

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Solution

The fourth proportional to 471.98, 706.44 and 289.74 is: 433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.98 : 706.44 = 289.74 : x
  2. Step 2: Convert to fraction form
    471.98/706.44 = 289.74/x
  3. Step 3: Cross multiply
    471.98x = 706.44 × 289.74
  4. Step 4: Simplify right side
    471.98x = 204,683.93
  5. Step 5: Solve for x
    x = 204,683.93/471.98
  6. Step 6: Final answer
    x = 433.67

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Why These Related Problems?

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