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Finding the Fourth Proportional to 328.80, 453.34 and 218.08

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Solution

The fourth proportional to 328.80, 453.34 and 218.08 is: 300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.80 : 453.34 = 218.08 : x
  2. Step 2: Convert to fraction form
    328.80/453.34 = 218.08/x
  3. Step 3: Cross multiply
    328.80x = 453.34 × 218.08
  4. Step 4: Simplify right side
    328.80x = 98,864.39
  5. Step 5: Solve for x
    x = 98,864.39/328.80
  6. Step 6: Final answer
    x = 300.68

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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.