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Finding the Fourth Proportional to 616.51, 850.75 and 361.07

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Solution

The fourth proportional to 616.51, 850.75 and 361.07 is: 498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.51 : 850.75 = 361.07 : x
  2. Step 2: Convert to fraction form
    616.51/850.75 = 361.07/x
  3. Step 3: Cross multiply
    616.51x = 850.75 × 361.07
  4. Step 4: Simplify right side
    616.51x = 307,183.80
  5. Step 5: Solve for x
    x = 307,183.80/616.51
  6. Step 6: Final answer
    x = 498.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.