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Finding the Fourth Proportional to 633.37, 873.76 and 371.28

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Solution

The fourth proportional to 633.37, 873.76 and 371.28 is: 512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.37 : 873.76 = 371.28 : x
  2. Step 2: Convert to fraction form
    633.37/873.76 = 371.28/x
  3. Step 3: Cross multiply
    633.37x = 873.76 × 371.28
  4. Step 4: Simplify right side
    633.37x = 324,409.61
  5. Step 5: Solve for x
    x = 324,409.61/633.37
  6. Step 6: Final answer
    x = 512.20

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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.