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Finding the Fourth Proportional to 653.00, 980.30 and 329.00

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Solution

The fourth proportional to 653.00, 980.30 and 329.00 is: 493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.00 : 980.30 = 329.00 : x
  2. Step 2: Convert to fraction form
    653.00/980.30 = 329.00/x
  3. Step 3: Cross multiply
    653.00x = 980.30 × 329.00
  4. Step 4: Simplify right side
    653.00x = 322,514.62
  5. Step 5: Solve for x
    x = 322,514.62/653.00
  6. Step 6: Final answer
    x = 493.90

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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.