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Finding the Fourth Proportional to 367.81, 507.91 and 274.39

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Solution

The fourth proportional to 367.81, 507.91 and 274.39 is: 378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.81 : 507.91 = 274.39 : x
  2. Step 2: Convert to fraction form
    367.81/507.91 = 274.39/x
  3. Step 3: Cross multiply
    367.81x = 507.91 × 274.39
  4. Step 4: Simplify right side
    367.81x = 139,366.89
  5. Step 5: Solve for x
    x = 139,366.89/367.81
  6. Step 6: Final answer
    x = 378.91

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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.