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Finding the Fourth Proportional to 409.50, 614.25 and 105.50

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Solution

The fourth proportional to 409.50, 614.25 and 105.50 is: 158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 614.25 = 105.50 : x
  2. Step 2: Convert to fraction form
    409.50/614.25 = 105.50/x
  3. Step 3: Cross multiply
    409.50x = 614.25 × 105.50
  4. Step 4: Simplify right side
    409.50x = 64,803.38
  5. Step 5: Solve for x
    x = 64,803.38/409.50
  6. Step 6: Final answer
    x = 158.25

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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.