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Finding the Fourth Proportional to 339.77, 471.03 and 322.20

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Solution

The fourth proportional to 339.77, 471.03 and 322.20 is: 446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.77 : 471.03 = 322.20 : x
  2. Step 2: Convert to fraction form
    339.77/471.03 = 322.20/x
  3. Step 3: Cross multiply
    339.77x = 471.03 × 322.20
  4. Step 4: Simplify right side
    339.77x = 151,765.87
  5. Step 5: Solve for x
    x = 151,765.87/339.77
  6. Step 6: Final answer
    x = 446.68

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.