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Finding the Fourth Proportional to 654.02, 981.30 and 329.42

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Solution

The fourth proportional to 654.02, 981.30 and 329.42 is: 494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.02 : 981.30 = 329.42 : x
  2. Step 2: Convert to fraction form
    654.02/981.30 = 329.42/x
  3. Step 3: Cross multiply
    654.02x = 981.30 × 329.42
  4. Step 4: Simplify right side
    654.02x = 323,259.85
  5. Step 5: Solve for x
    x = 323,259.85/654.02
  6. Step 6: Final answer
    x = 494.27

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Why These Related Problems?

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