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Finding the Fourth Proportional to 471.42, 650.62 and 294.56

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Solution

The fourth proportional to 471.42, 650.62 and 294.56 is: 406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.42 : 650.62 = 294.56 : x
  2. Step 2: Convert to fraction form
    471.42/650.62 = 294.56/x
  3. Step 3: Cross multiply
    471.42x = 650.62 × 294.56
  4. Step 4: Simplify right side
    471.42x = 191,647.60
  5. Step 5: Solve for x
    x = 191,647.60/471.42
  6. Step 6: Final answer
    x = 406.53

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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.