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Finding the Fourth Proportional to 632.86, 872.94 and 467.50

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Solution

The fourth proportional to 632.86, 872.94 and 467.50 is: 644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.86 : 872.94 = 467.50 : x
  2. Step 2: Convert to fraction form
    632.86/872.94 = 467.50/x
  3. Step 3: Cross multiply
    632.86x = 872.94 × 467.50
  4. Step 4: Simplify right side
    632.86x = 408,099.45
  5. Step 5: Solve for x
    x = 408,099.45/632.86
  6. Step 6: Final answer
    x = 644.85

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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.