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Finding the Fourth Proportional to 471.06, 650.06 and 271.84

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Solution

The fourth proportional to 471.06, 650.06 and 271.84 is: 375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 650.06 = 271.84 : x
  2. Step 2: Convert to fraction form
    471.06/650.06 = 271.84/x
  3. Step 3: Cross multiply
    471.06x = 650.06 × 271.84
  4. Step 4: Simplify right side
    471.06x = 176,712.31
  5. Step 5: Solve for x
    x = 176,712.31/471.06
  6. Step 6: Final answer
    x = 375.14

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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.