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Finding the Fourth Proportional to 413, 619.50 and 169.35

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Solution

The fourth proportional to 413, 619.50 and 169.35 is: 254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413 : 619.50 = 169.35 : x
  2. Step 2: Convert to fraction form
    413/619.50 = 169.35/x
  3. Step 3: Cross multiply
    413x = 619.50 × 169.35
  4. Step 4: Simplify right side
    413x = 104,912.33
  5. Step 5: Solve for x
    x = 104,912.33/413
  6. Step 6: Final answer
    x = 254.03

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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.