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Finding the Fourth Proportional to 369.56, 509.89 and 229.63

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Solution

The fourth proportional to 369.56, 509.89 and 229.63 is: 316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.56 : 509.89 = 229.63 : x
  2. Step 2: Convert to fraction form
    369.56/509.89 = 229.63/x
  3. Step 3: Cross multiply
    369.56x = 509.89 × 229.63
  4. Step 4: Simplify right side
    369.56x = 117,086.04
  5. Step 5: Solve for x
    x = 117,086.04/369.56
  6. Step 6: Final answer
    x = 316.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.