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Finding the Fourth Proportional to 328.08, 452.73 and 209.88

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Solution

The fourth proportional to 328.08, 452.73 and 209.88 is: 289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.08 : 452.73 = 209.88 : x
  2. Step 2: Convert to fraction form
    328.08/452.73 = 209.88/x
  3. Step 3: Cross multiply
    328.08x = 452.73 × 209.88
  4. Step 4: Simplify right side
    328.08x = 95,018.97
  5. Step 5: Solve for x
    x = 95,018.97/328.08
  6. Step 6: Final answer
    x = 289.62

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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.