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Finding the Fourth Proportional to 320.94, 443.16 and 232.46

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Solution

The fourth proportional to 320.94, 443.16 and 232.46 is: 320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.94 : 443.16 = 232.46 : x
  2. Step 2: Convert to fraction form
    320.94/443.16 = 232.46/x
  3. Step 3: Cross multiply
    320.94x = 443.16 × 232.46
  4. Step 4: Simplify right side
    320.94x = 103,014.76
  5. Step 5: Solve for x
    x = 103,014.76/320.94
  6. Step 6: Final answer
    x = 320.98

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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.