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Finding the Fourth Proportional to 416.70, 620.37 and 411.84

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Solution

The fourth proportional to 416.70, 620.37 and 411.84 is: 613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.70 : 620.37 = 411.84 : x
  2. Step 2: Convert to fraction form
    416.70/620.37 = 411.84/x
  3. Step 3: Cross multiply
    416.70x = 620.37 × 411.84
  4. Step 4: Simplify right side
    416.70x = 255,493.18
  5. Step 5: Solve for x
    x = 255,493.18/416.70
  6. Step 6: Final answer
    x = 613.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.