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Finding the Fourth Proportional to 409.32, 614.33 and 178.40

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Solution

The fourth proportional to 409.32, 614.33 and 178.40 is: 267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.32 : 614.33 = 178.40 : x
  2. Step 2: Convert to fraction form
    409.32/614.33 = 178.40/x
  3. Step 3: Cross multiply
    409.32x = 614.33 × 178.40
  4. Step 4: Simplify right side
    409.32x = 109,594.33
  5. Step 5: Solve for x
    x = 109,594.33/409.32
  6. Step 6: Final answer
    x = 267.75

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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.