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Finding the Fourth Proportional to 369.24, 509.65 and 229.28

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Solution

The fourth proportional to 369.24, 509.65 and 229.28 is: 316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.24 : 509.65 = 229.28 : x
  2. Step 2: Convert to fraction form
    369.24/509.65 = 229.28/x
  3. Step 3: Cross multiply
    369.24x = 509.65 × 229.28
  4. Step 4: Simplify right side
    369.24x = 116,849.43
  5. Step 5: Solve for x
    x = 116,849.43/369.24
  6. Step 6: Final answer
    x = 316.46

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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.