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Finding the Fourth Proportional to 409.84, 614.87 and 204.51

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Solution

The fourth proportional to 409.84, 614.87 and 204.51 is: 306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.84 : 614.87 = 204.51 : x
  2. Step 2: Convert to fraction form
    409.84/614.87 = 204.51/x
  3. Step 3: Cross multiply
    409.84x = 614.87 × 204.51
  4. Step 4: Simplify right side
    409.84x = 125,742.97
  5. Step 5: Solve for x
    x = 125,742.97/409.84
  6. Step 6: Final answer
    x = 306.81

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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.