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Finding the Fourth Proportional to 409.98, 614.53 and 204.14

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Solution

The fourth proportional to 409.98, 614.53 and 204.14 is: 305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.98 : 614.53 = 204.14 : x
  2. Step 2: Convert to fraction form
    409.98/614.53 = 204.14/x
  3. Step 3: Cross multiply
    409.98x = 614.53 × 204.14
  4. Step 4: Simplify right side
    409.98x = 125,449.64
  5. Step 5: Solve for x
    x = 125,449.64/409.98
  6. Step 6: Final answer
    x = 305.99

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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.