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Finding the Fourth Proportional to 329.09, 493.64 and 98.00

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Solution

The fourth proportional to 329.09, 493.64 and 98.00 is: 147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.09 : 493.64 = 98.00 : x
  2. Step 2: Convert to fraction form
    329.09/493.64 = 98.00/x
  3. Step 3: Cross multiply
    329.09x = 493.64 × 98.00
  4. Step 4: Simplify right side
    329.09x = 48,378.20
  5. Step 5: Solve for x
    x = 48,378.20/329.09
  6. Step 6: Final answer
    x = 147.00

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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.