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Finding the Fourth Proportional to 463.86, 639.48 and 365.44

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Solution

The fourth proportional to 463.86, 639.48 and 365.44 is: 503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.86 : 639.48 = 365.44 : x
  2. Step 2: Convert to fraction form
    463.86/639.48 = 365.44/x
  3. Step 3: Cross multiply
    463.86x = 639.48 × 365.44
  4. Step 4: Simplify right side
    463.86x = 233,691.57
  5. Step 5: Solve for x
    x = 233,691.57/463.86
  6. Step 6: Final answer
    x = 503.80

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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.