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Finding the Fourth Proportional to 369.23, 509.54 and 203.43

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Solution

The fourth proportional to 369.23, 509.54 and 203.43 is: 280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.23 : 509.54 = 203.43 : x
  2. Step 2: Convert to fraction form
    369.23/509.54 = 203.43/x
  3. Step 3: Cross multiply
    369.23x = 509.54 × 203.43
  4. Step 4: Simplify right side
    369.23x = 103,656.62
  5. Step 5: Solve for x
    x = 103,656.62/369.23
  6. Step 6: Final answer
    x = 280.74

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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.