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Finding the Fourth Proportional to 329.20, 454.06 and 209.53

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Solution

The fourth proportional to 329.20, 454.06 and 209.53 is: 289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.20 : 454.06 = 209.53 : x
  2. Step 2: Convert to fraction form
    329.20/454.06 = 209.53/x
  3. Step 3: Cross multiply
    329.20x = 454.06 × 209.53
  4. Step 4: Simplify right side
    329.20x = 95,139.19
  5. Step 5: Solve for x
    x = 95,139.19/329.20
  6. Step 6: Final answer
    x = 289.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.