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Finding the Fourth Proportional to 471.45, 650.98 and 305.94

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Solution

The fourth proportional to 471.45, 650.98 and 305.94 is: 422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.45 : 650.98 = 305.94 : x
  2. Step 2: Convert to fraction form
    471.45/650.98 = 305.94/x
  3. Step 3: Cross multiply
    471.45x = 650.98 × 305.94
  4. Step 4: Simplify right side
    471.45x = 199,160.82
  5. Step 5: Solve for x
    x = 199,160.82/471.45
  6. Step 6: Final answer
    x = 422.45

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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.