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Finding the Fourth Proportional to 633.14, 873.49 and 371.06

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Solution

The fourth proportional to 633.14, 873.49 and 371.06 is: 511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.14 : 873.49 = 371.06 : x
  2. Step 2: Convert to fraction form
    633.14/873.49 = 371.06/x
  3. Step 3: Cross multiply
    633.14x = 873.49 × 371.06
  4. Step 4: Simplify right side
    633.14x = 324,117.20
  5. Step 5: Solve for x
    x = 324,117.20/633.14
  6. Step 6: Final answer
    x = 511.92

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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.