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Finding the Fourth Proportional to 416.26, 624.69 and 313.83

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Solution

The fourth proportional to 416.26, 624.69 and 313.83 is: 470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.26 : 624.69 = 313.83 : x
  2. Step 2: Convert to fraction form
    416.26/624.69 = 313.83/x
  3. Step 3: Cross multiply
    416.26x = 624.69 × 313.83
  4. Step 4: Simplify right side
    416.26x = 196,046.46
  5. Step 5: Solve for x
    x = 196,046.46/416.26
  6. Step 6: Final answer
    x = 470.97

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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.