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Finding the Fourth Proportional to 409.40, 614.36 and 204.08

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Solution

The fourth proportional to 409.40, 614.36 and 204.08 is: 306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.40 : 614.36 = 204.08 : x
  2. Step 2: Convert to fraction form
    409.40/614.36 = 204.08/x
  3. Step 3: Cross multiply
    409.40x = 614.36 × 204.08
  4. Step 4: Simplify right side
    409.40x = 125,378.59
  5. Step 5: Solve for x
    x = 125,378.59/409.40
  6. Step 6: Final answer
    x = 306.25

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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.