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Finding the Fourth Proportional to 409.80, 614.10 and 245.34

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Solution

The fourth proportional to 409.80, 614.10 and 245.34 is: 367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.80 : 614.10 = 245.34 : x
  2. Step 2: Convert to fraction form
    409.80/614.10 = 245.34/x
  3. Step 3: Cross multiply
    409.80x = 614.10 × 245.34
  4. Step 4: Simplify right side
    409.80x = 150,663.29
  5. Step 5: Solve for x
    x = 150,663.29/409.80
  6. Step 6: Final answer
    x = 367.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.