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Finding the Fourth Proportional to 633.09, 873.61 and 371.06

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Solution

The fourth proportional to 633.09, 873.61 and 371.06 is: 512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.09 : 873.61 = 371.06 : x
  2. Step 2: Convert to fraction form
    633.09/873.61 = 371.06/x
  3. Step 3: Cross multiply
    633.09x = 873.61 × 371.06
  4. Step 4: Simplify right side
    633.09x = 324,156.43
  5. Step 5: Solve for x
    x = 324,156.43/633.09
  6. Step 6: Final answer
    x = 512.02

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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.