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Finding the Fourth Proportional to 653.85, 981.09 and 329.45

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Solution

The fourth proportional to 653.85, 981.09 and 329.45 is: 494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.85 : 981.09 = 329.45 : x
  2. Step 2: Convert to fraction form
    653.85/981.09 = 329.45/x
  3. Step 3: Cross multiply
    653.85x = 981.09 × 329.45
  4. Step 4: Simplify right side
    653.85x = 323,215.20
  5. Step 5: Solve for x
    x = 323,215.20/653.85
  6. Step 6: Final answer
    x = 494.33

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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.