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Finding the Fourth Proportional to 503.37, 755.14 and 229.46

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Solution

The fourth proportional to 503.37, 755.14 and 229.46 is: 344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.37 : 755.14 = 229.46 : x
  2. Step 2: Convert to fraction form
    503.37/755.14 = 229.46/x
  3. Step 3: Cross multiply
    503.37x = 755.14 × 229.46
  4. Step 4: Simplify right side
    503.37x = 173,274.42
  5. Step 5: Solve for x
    x = 173,274.42/503.37
  6. Step 6: Final answer
    x = 344.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.