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Finding the Fourth Proportional to 629.86, 868.82 and 464.50

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Solution

The fourth proportional to 629.86, 868.82 and 464.50 is: 640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.86 : 868.82 = 464.50 : x
  2. Step 2: Convert to fraction form
    629.86/868.82 = 464.50/x
  3. Step 3: Cross multiply
    629.86x = 868.82 × 464.50
  4. Step 4: Simplify right side
    629.86x = 403,566.89
  5. Step 5: Solve for x
    x = 403,566.89/629.86
  6. Step 6: Final answer
    x = 640.72

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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.