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Finding the Fourth Proportional to 632.38, 872.66 and 352.60

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Solution

The fourth proportional to 632.38, 872.66 and 352.60 is: 486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.38 : 872.66 = 352.60 : x
  2. Step 2: Convert to fraction form
    632.38/872.66 = 352.60/x
  3. Step 3: Cross multiply
    632.38x = 872.66 × 352.60
  4. Step 4: Simplify right side
    632.38x = 307,699.92
  5. Step 5: Solve for x
    x = 307,699.92/632.38
  6. Step 6: Final answer
    x = 486.57

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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.