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Finding the Fourth Proportional to 616.27, 850.65 and 367.50

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Solution

The fourth proportional to 616.27, 850.65 and 367.50 is: 507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.27 : 850.65 = 367.50 : x
  2. Step 2: Convert to fraction form
    616.27/850.65 = 367.50/x
  3. Step 3: Cross multiply
    616.27x = 850.65 × 367.50
  4. Step 4: Simplify right side
    616.27x = 312,614.17
  5. Step 5: Solve for x
    x = 312,614.17/616.27
  6. Step 6: Final answer
    x = 507.27

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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.