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Finding the Fourth Proportional to 491.49, 734.38 and 371.97

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Solution

The fourth proportional to 491.49, 734.38 and 371.97 is: 555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.49 : 734.38 = 371.97 : x
  2. Step 2: Convert to fraction form
    491.49/734.38 = 371.97/x
  3. Step 3: Cross multiply
    491.49x = 734.38 × 371.97
  4. Step 4: Simplify right side
    491.49x = 273,168.36
  5. Step 5: Solve for x
    x = 273,168.36/491.49
  6. Step 6: Final answer
    x = 555.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.