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Finding the Fourth Proportional to 632.94, 873.38 and 467.24

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Solution

The fourth proportional to 632.94, 873.38 and 467.24 is: 644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.94 : 873.38 = 467.24 : x
  2. Step 2: Convert to fraction form
    632.94/873.38 = 467.24/x
  3. Step 3: Cross multiply
    632.94x = 873.38 × 467.24
  4. Step 4: Simplify right side
    632.94x = 408,078.07
  5. Step 5: Solve for x
    x = 408,078.07/632.94
  6. Step 6: Final answer
    x = 644.73

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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.