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Finding the Fourth Proportional to 367.84, 507.96 and 237.07

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Solution

The fourth proportional to 367.84, 507.96 and 237.07 is: 327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.84 : 507.96 = 237.07 : x
  2. Step 2: Convert to fraction form
    367.84/507.96 = 237.07/x
  3. Step 3: Cross multiply
    367.84x = 507.96 × 237.07
  4. Step 4: Simplify right side
    367.84x = 120,422.08
  5. Step 5: Solve for x
    x = 120,422.08/367.84
  6. Step 6: Final answer
    x = 327.38

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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.