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Finding the Fourth Proportional to 320.25, 441.54 and 232.77

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Solution

The fourth proportional to 320.25, 441.54 and 232.77 is: 320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.25 : 441.54 = 232.77 : x
  2. Step 2: Convert to fraction form
    320.25/441.54 = 232.77/x
  3. Step 3: Cross multiply
    320.25x = 441.54 × 232.77
  4. Step 4: Simplify right side
    320.25x = 102,777.27
  5. Step 5: Solve for x
    x = 102,777.27/320.25
  6. Step 6: Final answer
    x = 320.93

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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.