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Finding the Fourth Proportional to 471.56, 650.69 and 294.77

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Solution

The fourth proportional to 471.56, 650.69 and 294.77 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.56 : 650.69 = 294.77 : x
  2. Step 2: Convert to fraction form
    471.56/650.69 = 294.77/x
  3. Step 3: Cross multiply
    471.56x = 650.69 × 294.77
  4. Step 4: Simplify right side
    471.56x = 191,799.16
  5. Step 5: Solve for x
    x = 191,799.16/471.56
  6. Step 6: Final answer
    x = 406.74

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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.