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Finding the Fourth Proportional to 409.97, 615.05 and 178.94

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Solution

The fourth proportional to 409.97, 615.05 and 178.94 is: 268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.97 : 615.05 = 178.94 : x
  2. Step 2: Convert to fraction form
    409.97/615.05 = 178.94/x
  3. Step 3: Cross multiply
    409.97x = 615.05 × 178.94
  4. Step 4: Simplify right side
    409.97x = 110,057.05
  5. Step 5: Solve for x
    x = 110,057.05/409.97
  6. Step 6: Final answer
    x = 268.45

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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.