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Finding the Fourth Proportional to 416.78, 624.56 and 233.92

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Solution

The fourth proportional to 416.78, 624.56 and 233.92 is: 350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.78 : 624.56 = 233.92 : x
  2. Step 2: Convert to fraction form
    416.78/624.56 = 233.92/x
  3. Step 3: Cross multiply
    416.78x = 624.56 × 233.92
  4. Step 4: Simplify right side
    416.78x = 146,097.08
  5. Step 5: Solve for x
    x = 146,097.08/416.78
  6. Step 6: Final answer
    x = 350.54

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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.