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Finding the Fourth Proportional to 409.63, 614.09 and 178.53

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Solution

The fourth proportional to 409.63, 614.09 and 178.53 is: 267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.63 : 614.09 = 178.53 : x
  2. Step 2: Convert to fraction form
    409.63/614.09 = 178.53/x
  3. Step 3: Cross multiply
    409.63x = 614.09 × 178.53
  4. Step 4: Simplify right side
    409.63x = 109,633.49
  5. Step 5: Solve for x
    x = 109,633.49/409.63
  6. Step 6: Final answer
    x = 267.64

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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.