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Finding the Fourth Proportional to 416.48, 620.02 and 414.06

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Solution

The fourth proportional to 416.48, 620.02 and 414.06 is: 616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.48 : 620.02 = 414.06 : x
  2. Step 2: Convert to fraction form
    416.48/620.02 = 414.06/x
  3. Step 3: Cross multiply
    416.48x = 620.02 × 414.06
  4. Step 4: Simplify right side
    416.48x = 256,725.48
  5. Step 5: Solve for x
    x = 256,725.48/416.48
  6. Step 6: Final answer
    x = 616.42

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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.