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Finding the Fourth Proportional to 418.28, 576.86 and 344.16

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Solution

The fourth proportional to 418.28, 576.86 and 344.16 is: 474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.28 : 576.86 = 344.16 : x
  2. Step 2: Convert to fraction form
    418.28/576.86 = 344.16/x
  3. Step 3: Cross multiply
    418.28x = 576.86 × 344.16
  4. Step 4: Simplify right side
    418.28x = 198,530.42
  5. Step 5: Solve for x
    x = 198,530.42/418.28
  6. Step 6: Final answer
    x = 474.64

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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.