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Finding the Fourth Proportional to 364.57, 503.27 and 240.23

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Solution

The fourth proportional to 364.57, 503.27 and 240.23 is: 331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.57 : 503.27 = 240.23 : x
  2. Step 2: Convert to fraction form
    364.57/503.27 = 240.23/x
  3. Step 3: Cross multiply
    364.57x = 503.27 × 240.23
  4. Step 4: Simplify right side
    364.57x = 120,902.41
  5. Step 5: Solve for x
    x = 120,902.41/364.57
  6. Step 6: Final answer
    x = 331.63

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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.