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Finding the Fourth Proportional to 463.42, 639.24 and 352.86

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Solution

The fourth proportional to 463.42, 639.24 and 352.86 is: 486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.42 : 639.24 = 352.86 : x
  2. Step 2: Convert to fraction form
    463.42/639.24 = 352.86/x
  3. Step 3: Cross multiply
    463.42x = 639.24 × 352.86
  4. Step 4: Simplify right side
    463.42x = 225,560.49
  5. Step 5: Solve for x
    x = 225,560.49/463.42
  6. Step 6: Final answer
    x = 486.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.