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Finding the Fourth Proportional to 329.36, 493.83 and 260.78

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Solution

The fourth proportional to 329.36, 493.83 and 260.78 is: 391.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.36 : 493.83 = 260.78 : x
  2. Step 2: Convert to fraction form
    329.36/493.83 = 260.78/x
  3. Step 3: Cross multiply
    329.36x = 493.83 × 260.78
  4. Step 4: Simplify right side
    329.36x = 128,778.52
  5. Step 5: Solve for x
    x = 128,778.52/329.36
  6. Step 6: Final answer
    x = 391.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.