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Finding the Fourth Proportional to 329.72, 492.31 and 290.89

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Solution

The fourth proportional to 329.72, 492.31 and 290.89 is: 434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.72 : 492.31 = 290.89 : x
  2. Step 2: Convert to fraction form
    329.72/492.31 = 290.89/x
  3. Step 3: Cross multiply
    329.72x = 492.31 × 290.89
  4. Step 4: Simplify right side
    329.72x = 143,208.06
  5. Step 5: Solve for x
    x = 143,208.06/329.72
  6. Step 6: Final answer
    x = 434.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.