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Finding the Fourth Proportional to 471.06, 706.62 and 146.44

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Solution

The fourth proportional to 471.06, 706.62 and 146.44 is: 219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 706.62 = 146.44 : x
  2. Step 2: Convert to fraction form
    471.06/706.62 = 146.44/x
  3. Step 3: Cross multiply
    471.06x = 706.62 × 146.44
  4. Step 4: Simplify right side
    471.06x = 103,477.43
  5. Step 5: Solve for x
    x = 103,477.43/471.06
  6. Step 6: Final answer
    x = 219.67

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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.