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Finding the Fourth Proportional to 329.96, 454.92 and 296.84

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Solution

The fourth proportional to 329.96, 454.92 and 296.84 is: 409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.96 : 454.92 = 296.84 : x
  2. Step 2: Convert to fraction form
    329.96/454.92 = 296.84/x
  3. Step 3: Cross multiply
    329.96x = 454.92 × 296.84
  4. Step 4: Simplify right side
    329.96x = 135,038.45
  5. Step 5: Solve for x
    x = 135,038.45/329.96
  6. Step 6: Final answer
    x = 409.26

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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.