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Finding the Fourth Proportional to 367.85, 507.57 and 237.03

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Solution

The fourth proportional to 367.85, 507.57 and 237.03 is: 327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.85 : 507.57 = 237.03 : x
  2. Step 2: Convert to fraction form
    367.85/507.57 = 237.03/x
  3. Step 3: Cross multiply
    367.85x = 507.57 × 237.03
  4. Step 4: Simplify right side
    367.85x = 120,309.32
  5. Step 5: Solve for x
    x = 120,309.32/367.85
  6. Step 6: Final answer
    x = 327.07

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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.