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Finding the Fourth Proportional to 328.80, 453.62 and 210.79

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Solution

The fourth proportional to 328.80, 453.62 and 210.79 is: 290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.80 : 453.62 = 210.79 : x
  2. Step 2: Convert to fraction form
    328.80/453.62 = 210.79/x
  3. Step 3: Cross multiply
    328.80x = 453.62 × 210.79
  4. Step 4: Simplify right side
    328.80x = 95,616.29
  5. Step 5: Solve for x
    x = 95,616.29/328.80
  6. Step 6: Final answer
    x = 290.81

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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.