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Finding the Fourth Proportional to 653.80, 981.18 and 329.40

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Solution

The fourth proportional to 653.80, 981.18 and 329.40 is: 494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 981.18 = 329.40 : x
  2. Step 2: Convert to fraction form
    653.80/981.18 = 329.40/x
  3. Step 3: Cross multiply
    653.80x = 981.18 × 329.40
  4. Step 4: Simplify right side
    653.80x = 323,200.69
  5. Step 5: Solve for x
    x = 323,200.69/653.80
  6. Step 6: Final answer
    x = 494.34

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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.