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Finding the Fourth Proportional to 334.68, 461.76 and 224.28

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Solution

The fourth proportional to 334.68, 461.76 and 224.28 is: 309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.68 : 461.76 = 224.28 : x
  2. Step 2: Convert to fraction form
    334.68/461.76 = 224.28/x
  3. Step 3: Cross multiply
    334.68x = 461.76 × 224.28
  4. Step 4: Simplify right side
    334.68x = 103,563.53
  5. Step 5: Solve for x
    x = 103,563.53/334.68
  6. Step 6: Final answer
    x = 309.44

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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.