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Finding the Fourth Proportional to 632.37, 872.78 and 467.06

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Solution

The fourth proportional to 632.37, 872.78 and 467.06 is: 644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.37 : 872.78 = 467.06 : x
  2. Step 2: Convert to fraction form
    632.37/872.78 = 467.06/x
  3. Step 3: Cross multiply
    632.37x = 872.78 × 467.06
  4. Step 4: Simplify right side
    632.37x = 407,641.64
  5. Step 5: Solve for x
    x = 407,641.64/632.37
  6. Step 6: Final answer
    x = 644.63

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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.