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Finding the Fourth Proportional to 409.21, 614.07 and 263.06

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Solution

The fourth proportional to 409.21, 614.07 and 263.06 is: 394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.21 : 614.07 = 263.06 : x
  2. Step 2: Convert to fraction form
    409.21/614.07 = 263.06/x
  3. Step 3: Cross multiply
    409.21x = 614.07 × 263.06
  4. Step 4: Simplify right side
    409.21x = 161,537.25
  5. Step 5: Solve for x
    x = 161,537.25/409.21
  6. Step 6: Final answer
    x = 394.75

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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.