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Finding the Fourth Proportional to 409.93, 614.53 and 204.59

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Solution

The fourth proportional to 409.93, 614.53 and 204.59 is: 306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.93 : 614.53 = 204.59 : x
  2. Step 2: Convert to fraction form
    409.93/614.53 = 204.59/x
  3. Step 3: Cross multiply
    409.93x = 614.53 × 204.59
  4. Step 4: Simplify right side
    409.93x = 125,726.69
  5. Step 5: Solve for x
    x = 125,726.69/409.93
  6. Step 6: Final answer
    x = 306.70

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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.