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Finding the Fourth Proportional to 416.54, 624.61 and 243.25

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Solution

The fourth proportional to 416.54, 624.61 and 243.25 is: 364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.54 : 624.61 = 243.25 : x
  2. Step 2: Convert to fraction form
    416.54/624.61 = 243.25/x
  3. Step 3: Cross multiply
    416.54x = 624.61 × 243.25
  4. Step 4: Simplify right side
    416.54x = 151,936.38
  5. Step 5: Solve for x
    x = 151,936.38/416.54
  6. Step 6: Final answer
    x = 364.76

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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.