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Finding the Fourth Proportional to 463.55, 638.24 and 393.46

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Solution

The fourth proportional to 463.55, 638.24 and 393.46 is: 541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.55 : 638.24 = 393.46 : x
  2. Step 2: Convert to fraction form
    463.55/638.24 = 393.46/x
  3. Step 3: Cross multiply
    463.55x = 638.24 × 393.46
  4. Step 4: Simplify right side
    463.55x = 251,118.35
  5. Step 5: Solve for x
    x = 251,118.35/463.55
  6. Step 6: Final answer
    x = 541.73

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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.