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Finding the Fourth Proportional to 632.36, 872.78 and 352.68

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Solution

The fourth proportional to 632.36, 872.78 and 352.68 is: 486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.36 : 872.78 = 352.68 : x
  2. Step 2: Convert to fraction form
    632.36/872.78 = 352.68/x
  3. Step 3: Cross multiply
    632.36x = 872.78 × 352.68
  4. Step 4: Simplify right side
    632.36x = 307,812.05
  5. Step 5: Solve for x
    x = 307,812.05/632.36
  6. Step 6: Final answer
    x = 486.77

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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.