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Finding the Fourth Proportional to 631.86, 872.00 and 352.10

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Solution

The fourth proportional to 631.86, 872.00 and 352.10 is: 485.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.86 : 872.00 = 352.10 : x
  2. Step 2: Convert to fraction form
    631.86/872.00 = 352.10/x
  3. Step 3: Cross multiply
    631.86x = 872.00 × 352.10
  4. Step 4: Simplify right side
    631.86x = 307,032.94
  5. Step 5: Solve for x
    x = 307,032.94/631.86
  6. Step 6: Final answer
    x = 485.92

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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.