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Finding the Fourth Proportional to 633.65, 874.49 and 371.70

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Solution

The fourth proportional to 633.65, 874.49 and 371.70 is: 512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.65 : 874.49 = 371.70 : x
  2. Step 2: Convert to fraction form
    633.65/874.49 = 371.70/x
  3. Step 3: Cross multiply
    633.65x = 874.49 × 371.70
  4. Step 4: Simplify right side
    633.65x = 325,046.07
  5. Step 5: Solve for x
    x = 325,046.07/633.65
  6. Step 6: Final answer
    x = 512.98

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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.