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Finding the Fourth Proportional to 416.54, 624.86 and 127.96

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Solution

The fourth proportional to 416.54, 624.86 and 127.96 is: 191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.54 : 624.86 = 127.96 : x
  2. Step 2: Convert to fraction form
    416.54/624.86 = 127.96/x
  3. Step 3: Cross multiply
    416.54x = 624.86 × 127.96
  4. Step 4: Simplify right side
    416.54x = 79,955.36
  5. Step 5: Solve for x
    x = 79,955.36/416.54
  6. Step 6: Final answer
    x = 191.95

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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.