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Finding the Fourth Proportional to 409.54, 614.24 and 190.10

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Solution

The fourth proportional to 409.54, 614.24 and 190.10 is: 285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.54 : 614.24 = 190.10 : x
  2. Step 2: Convert to fraction form
    409.54/614.24 = 190.10/x
  3. Step 3: Cross multiply
    409.54x = 614.24 × 190.10
  4. Step 4: Simplify right side
    409.54x = 116,767.02
  5. Step 5: Solve for x
    x = 116,767.02/409.54
  6. Step 6: Final answer
    x = 285.12

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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.