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Finding the Fourth Proportional to 367.61, 507.06 and 274.25

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Solution

The fourth proportional to 367.61, 507.06 and 274.25 is: 378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.61 : 507.06 = 274.25 : x
  2. Step 2: Convert to fraction form
    367.61/507.06 = 274.25/x
  3. Step 3: Cross multiply
    367.61x = 507.06 × 274.25
  4. Step 4: Simplify right side
    367.61x = 139,062.47
  5. Step 5: Solve for x
    x = 139,062.47/367.61
  6. Step 6: Final answer
    x = 378.29

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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.