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Finding the Fourth Proportional to 471.83, 651.42 and 322.63

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Solution

The fourth proportional to 471.83, 651.42 and 322.63 is: 445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.83 : 651.42 = 322.63 : x
  2. Step 2: Convert to fraction form
    471.83/651.42 = 322.63/x
  3. Step 3: Cross multiply
    471.83x = 651.42 × 322.63
  4. Step 4: Simplify right side
    471.83x = 210,167.63
  5. Step 5: Solve for x
    x = 210,167.63/471.83
  6. Step 6: Final answer
    x = 445.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.