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Finding the Fourth Proportional to 409.26, 614.12 and 178.32

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Solution

The fourth proportional to 409.26, 614.12 and 178.32 is: 267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.26 : 614.12 = 178.32 : x
  2. Step 2: Convert to fraction form
    409.26/614.12 = 178.32/x
  3. Step 3: Cross multiply
    409.26x = 614.12 × 178.32
  4. Step 4: Simplify right side
    409.26x = 109,509.88
  5. Step 5: Solve for x
    x = 109,509.88/409.26
  6. Step 6: Final answer
    x = 267.58

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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.