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Finding the Fourth Proportional to 336.32, 463.92 and 224.27

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Solution

The fourth proportional to 336.32, 463.92 and 224.27 is: 309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.32 : 463.92 = 224.27 : x
  2. Step 2: Convert to fraction form
    336.32/463.92 = 224.27/x
  3. Step 3: Cross multiply
    336.32x = 463.92 × 224.27
  4. Step 4: Simplify right side
    336.32x = 104,043.34
  5. Step 5: Solve for x
    x = 104,043.34/336.32
  6. Step 6: Final answer
    x = 309.36

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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.