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Finding the Fourth Proportional to 472.89, 650.06 and 422.57

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Solution

The fourth proportional to 472.89, 650.06 and 422.57 is: 580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.89 : 650.06 = 422.57 : x
  2. Step 2: Convert to fraction form
    472.89/650.06 = 422.57/x
  3. Step 3: Cross multiply
    472.89x = 650.06 × 422.57
  4. Step 4: Simplify right side
    472.89x = 274,695.85
  5. Step 5: Solve for x
    x = 274,695.85/472.89
  6. Step 6: Final answer
    x = 580.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.