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Finding the Fourth Proportional to 369.14, 509.70 and 229.46

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Solution

The fourth proportional to 369.14, 509.70 and 229.46 is: 316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.14 : 509.70 = 229.46 : x
  2. Step 2: Convert to fraction form
    369.14/509.70 = 229.46/x
  3. Step 3: Cross multiply
    369.14x = 509.70 × 229.46
  4. Step 4: Simplify right side
    369.14x = 116,955.76
  5. Step 5: Solve for x
    x = 116,955.76/369.14
  6. Step 6: Final answer
    x = 316.83

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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.