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Finding the Fourth Proportional to 413, 619.50 and 109

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Solution

The fourth proportional to 413, 619.50 and 109 is: 163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413 : 619.50 = 109 : x
  2. Step 2: Convert to fraction form
    413/619.50 = 109/x
  3. Step 3: Cross multiply
    413x = 619.50 × 109
  4. Step 4: Simplify right side
    413x = 67,525.50
  5. Step 5: Solve for x
    x = 67,525.50/413
  6. Step 6: Final answer
    x = 163.50

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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.