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Finding the Fourth Proportional to 632.52, 872.75 and 352.65

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Solution

The fourth proportional to 632.52, 872.75 and 352.65 is: 486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.52 : 872.75 = 352.65 : x
  2. Step 2: Convert to fraction form
    632.52/872.75 = 352.65/x
  3. Step 3: Cross multiply
    632.52x = 872.75 × 352.65
  4. Step 4: Simplify right side
    632.52x = 307,778.45
  5. Step 5: Solve for x
    x = 307,778.45/632.52
  6. Step 6: Final answer
    x = 486.59

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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.