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Finding the Fourth Proportional to 616.64, 851.02 and 367.97

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Solution

The fourth proportional to 616.64, 851.02 and 367.97 is: 507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.64 : 851.02 = 367.97 : x
  2. Step 2: Convert to fraction form
    616.64/851.02 = 367.97/x
  3. Step 3: Cross multiply
    616.64x = 851.02 × 367.97
  4. Step 4: Simplify right side
    616.64x = 313,149.83
  5. Step 5: Solve for x
    x = 313,149.83/616.64
  6. Step 6: Final answer
    x = 507.83

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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.