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Finding the Fourth Proportional to 369.45, 509.57 and 229.42

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Solution

The fourth proportional to 369.45, 509.57 and 229.42 is: 316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.45 : 509.57 = 229.42 : x
  2. Step 2: Convert to fraction form
    369.45/509.57 = 229.42/x
  3. Step 3: Cross multiply
    369.45x = 509.57 × 229.42
  4. Step 4: Simplify right side
    369.45x = 116,903.00
  5. Step 5: Solve for x
    x = 116,903.00/369.45
  6. Step 6: Final answer
    x = 316.43

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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.