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Finding the Fourth Proportional to 471.53, 650.75 and 275.06

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Solution

The fourth proportional to 471.53, 650.75 and 275.06 is: 379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.53 : 650.75 = 275.06 : x
  2. Step 2: Convert to fraction form
    471.53/650.75 = 275.06/x
  3. Step 3: Cross multiply
    471.53x = 650.75 × 275.06
  4. Step 4: Simplify right side
    471.53x = 178,995.30
  5. Step 5: Solve for x
    x = 178,995.30/471.53
  6. Step 6: Final answer
    x = 379.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.