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Finding the Fourth Proportional to 632.34, 872.03 and 396.21

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Solution

The fourth proportional to 632.34, 872.03 and 396.21 is: 546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.34 : 872.03 = 396.21 : x
  2. Step 2: Convert to fraction form
    632.34/872.03 = 396.21/x
  3. Step 3: Cross multiply
    632.34x = 872.03 × 396.21
  4. Step 4: Simplify right side
    632.34x = 345,506.36
  5. Step 5: Solve for x
    x = 345,506.36/632.34
  6. Step 6: Final answer
    x = 546.39

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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.