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Finding the Fourth Proportional to 463.57, 638.27 and 352.69

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Solution

The fourth proportional to 463.57, 638.27 and 352.69 is: 485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.57 : 638.27 = 352.69 : x
  2. Step 2: Convert to fraction form
    463.57/638.27 = 352.69/x
  3. Step 3: Cross multiply
    463.57x = 638.27 × 352.69
  4. Step 4: Simplify right side
    463.57x = 225,109.68
  5. Step 5: Solve for x
    x = 225,109.68/463.57
  6. Step 6: Final answer
    x = 485.60

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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.