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Finding the Fourth Proportional to 367.34, 503.92 and 364.20

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Solution

The fourth proportional to 367.34, 503.92 and 364.20 is: 499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.34 : 503.92 = 364.20 : x
  2. Step 2: Convert to fraction form
    367.34/503.92 = 364.20/x
  3. Step 3: Cross multiply
    367.34x = 503.92 × 364.20
  4. Step 4: Simplify right side
    367.34x = 183,526.23
  5. Step 5: Solve for x
    x = 183,526.23/367.34
  6. Step 6: Final answer
    x = 499.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.