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Finding the Fourth Proportional to 471.78, 650.40 and 306

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Solution

The fourth proportional to 471.78, 650.40 and 306 is: 421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.78 : 650.40 = 306 : x
  2. Step 2: Convert to fraction form
    471.78/650.40 = 306/x
  3. Step 3: Cross multiply
    471.78x = 650.40 × 306
  4. Step 4: Simplify right side
    471.78x = 199,022.40
  5. Step 5: Solve for x
    x = 199,022.40/471.78
  6. Step 6: Final answer
    x = 421.85

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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.