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Finding the Fourth Proportional to 478.36, 717.42 and 185.84

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Solution

The fourth proportional to 478.36, 717.42 and 185.84 is: 278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.36 : 717.42 = 185.84 : x
  2. Step 2: Convert to fraction form
    478.36/717.42 = 185.84/x
  3. Step 3: Cross multiply
    478.36x = 717.42 × 185.84
  4. Step 4: Simplify right side
    478.36x = 133,325.33
  5. Step 5: Solve for x
    x = 133,325.33/478.36
  6. Step 6: Final answer
    x = 278.71

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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.