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Finding the Fourth Proportional to 616.13, 850.20 and 380.05

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Solution

The fourth proportional to 616.13, 850.20 and 380.05 is: 524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.13 : 850.20 = 380.05 : x
  2. Step 2: Convert to fraction form
    616.13/850.20 = 380.05/x
  3. Step 3: Cross multiply
    616.13x = 850.20 × 380.05
  4. Step 4: Simplify right side
    616.13x = 323,118.51
  5. Step 5: Solve for x
    x = 323,118.51/616.13
  6. Step 6: Final answer
    x = 524.43

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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.