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Finding the Fourth Proportional to 632.30, 834.96 and 632.30

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Solution

The fourth proportional to 632.30, 834.96 and 632.30 is: 834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.30 : 834.96 = 632.30 : x
  2. Step 2: Convert to fraction form
    632.30/834.96 = 632.30/x
  3. Step 3: Cross multiply
    632.30x = 834.96 × 632.30
  4. Step 4: Simplify right side
    632.30x = 527,945.21
  5. Step 5: Solve for x
    x = 527,945.21/632.30
  6. Step 6: Final answer
    x = 834.96

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.