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Finding the Fourth Proportional to 367.84, 507.51 and 243.46

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Solution

The fourth proportional to 367.84, 507.51 and 243.46 is: 335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.84 : 507.51 = 243.46 : x
  2. Step 2: Convert to fraction form
    367.84/507.51 = 243.46/x
  3. Step 3: Cross multiply
    367.84x = 507.51 × 243.46
  4. Step 4: Simplify right side
    367.84x = 123,558.38
  5. Step 5: Solve for x
    x = 123,558.38/367.84
  6. Step 6: Final answer
    x = 335.90

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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.