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Finding the Fourth Proportional to 463.86, 639.90 and 412.02

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Solution

The fourth proportional to 463.86, 639.90 and 412.02 is: 568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.86 : 639.90 = 412.02 : x
  2. Step 2: Convert to fraction form
    463.86/639.90 = 412.02/x
  3. Step 3: Cross multiply
    463.86x = 639.90 × 412.02
  4. Step 4: Simplify right side
    463.86x = 263,651.60
  5. Step 5: Solve for x
    x = 263,651.60/463.86
  6. Step 6: Final answer
    x = 568.39

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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.