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Finding the Fourth Proportional to 461.05, 635.52 and 341.20

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Solution

The fourth proportional to 461.05, 635.52 and 341.20 is: 470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.05 : 635.52 = 341.20 : x
  2. Step 2: Convert to fraction form
    461.05/635.52 = 341.20/x
  3. Step 3: Cross multiply
    461.05x = 635.52 × 341.20
  4. Step 4: Simplify right side
    461.05x = 216,839.42
  5. Step 5: Solve for x
    x = 216,839.42/461.05
  6. Step 6: Final answer
    x = 470.32

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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.