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Finding the Fourth Proportional to 409.47, 614.25 and 214.53

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Solution

The fourth proportional to 409.47, 614.25 and 214.53 is: 321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.47 : 614.25 = 214.53 : x
  2. Step 2: Convert to fraction form
    409.47/614.25 = 214.53/x
  3. Step 3: Cross multiply
    409.47x = 614.25 × 214.53
  4. Step 4: Simplify right side
    409.47x = 131,775.05
  5. Step 5: Solve for x
    x = 131,775.05/409.47
  6. Step 6: Final answer
    x = 321.82

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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.