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Finding the Fourth Proportional to 416.78, 624.87 and 185.54

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Solution

The fourth proportional to 416.78, 624.87 and 185.54 is: 278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.78 : 624.87 = 185.54 : x
  2. Step 2: Convert to fraction form
    416.78/624.87 = 185.54/x
  3. Step 3: Cross multiply
    416.78x = 624.87 × 185.54
  4. Step 4: Simplify right side
    416.78x = 115,935.26
  5. Step 5: Solve for x
    x = 115,935.26/416.78
  6. Step 6: Final answer
    x = 278.17

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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.