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Finding the Fourth Proportional to 367.86, 507.12 and 262.92

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Solution

The fourth proportional to 367.86, 507.12 and 262.92 is: 362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.86 : 507.12 = 262.92 : x
  2. Step 2: Convert to fraction form
    367.86/507.12 = 262.92/x
  3. Step 3: Cross multiply
    367.86x = 507.12 × 262.92
  4. Step 4: Simplify right side
    367.86x = 133,331.99
  5. Step 5: Solve for x
    x = 133,331.99/367.86
  6. Step 6: Final answer
    x = 362.45

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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.