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Finding the Fourth Proportional to 409.46, 614.34 and 190.19

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Solution

The fourth proportional to 409.46, 614.34 and 190.19 is: 285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.46 : 614.34 = 190.19 : x
  2. Step 2: Convert to fraction form
    409.46/614.34 = 190.19/x
  3. Step 3: Cross multiply
    409.46x = 614.34 × 190.19
  4. Step 4: Simplify right side
    409.46x = 116,840.37
  5. Step 5: Solve for x
    x = 116,840.37/409.46
  6. Step 6: Final answer
    x = 285.35

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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.