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Finding the Fourth Proportional to 632.76, 872.94 and 467.36

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Solution

The fourth proportional to 632.76, 872.94 and 467.36 is: 644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.76 : 872.94 = 467.36 : x
  2. Step 2: Convert to fraction form
    632.76/872.94 = 467.36/x
  3. Step 3: Cross multiply
    632.76x = 872.94 × 467.36
  4. Step 4: Simplify right side
    632.76x = 407,977.24
  5. Step 5: Solve for x
    x = 407,977.24/632.76
  6. Step 6: Final answer
    x = 644.76

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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.