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Finding the Fourth Proportional to 409.93, 614.73 and 204.60

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Solution

The fourth proportional to 409.93, 614.73 and 204.60 is: 306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.93 : 614.73 = 204.60 : x
  2. Step 2: Convert to fraction form
    409.93/614.73 = 204.60/x
  3. Step 3: Cross multiply
    409.93x = 614.73 × 204.60
  4. Step 4: Simplify right side
    409.93x = 125,773.76
  5. Step 5: Solve for x
    x = 125,773.76/409.93
  6. Step 6: Final answer
    x = 306.82

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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.