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Finding the Fourth Proportional to 631.98, 872.16 and 352.23

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Solution

The fourth proportional to 631.98, 872.16 and 352.23 is: 486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.98 : 872.16 = 352.23 : x
  2. Step 2: Convert to fraction form
    631.98/872.16 = 352.23/x
  3. Step 3: Cross multiply
    631.98x = 872.16 × 352.23
  4. Step 4: Simplify right side
    631.98x = 307,200.92
  5. Step 5: Solve for x
    x = 307,200.92/631.98
  6. Step 6: Final answer
    x = 486.09

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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.