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Finding the Fourth Proportional to 632.70, 872.87 and 467.29

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Solution

The fourth proportional to 632.70, 872.87 and 467.29 is: 644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.70 : 872.87 = 467.29 : x
  2. Step 2: Convert to fraction form
    632.70/872.87 = 467.29/x
  3. Step 3: Cross multiply
    632.70x = 872.87 × 467.29
  4. Step 4: Simplify right side
    632.70x = 407,883.42
  5. Step 5: Solve for x
    x = 407,883.42/632.70
  6. Step 6: Final answer
    x = 644.67

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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.