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Finding the Fourth Proportional to 369.64, 509.97 and 229.61

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Solution

The fourth proportional to 369.64, 509.97 and 229.61 is: 316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.64 : 509.97 = 229.61 : x
  2. Step 2: Convert to fraction form
    369.64/509.97 = 229.61/x
  3. Step 3: Cross multiply
    369.64x = 509.97 × 229.61
  4. Step 4: Simplify right side
    369.64x = 117,094.21
  5. Step 5: Solve for x
    x = 117,094.21/369.64
  6. Step 6: Final answer
    x = 316.78

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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.