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Finding the Fourth Proportional to 328.90, 453.92 and 218.34

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Solution

The fourth proportional to 328.90, 453.92 and 218.34 is: 301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.90 : 453.92 = 218.34 : x
  2. Step 2: Convert to fraction form
    328.90/453.92 = 218.34/x
  3. Step 3: Cross multiply
    328.90x = 453.92 × 218.34
  4. Step 4: Simplify right side
    328.90x = 99,108.89
  5. Step 5: Solve for x
    x = 99,108.89/328.90
  6. Step 6: Final answer
    x = 301.33

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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.