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Finding the Fourth Proportional to 371.09, 511.83 and 354.49

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Solution

The fourth proportional to 371.09, 511.83 and 354.49 is: 488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.09 : 511.83 = 354.49 : x
  2. Step 2: Convert to fraction form
    371.09/511.83 = 354.49/x
  3. Step 3: Cross multiply
    371.09x = 511.83 × 354.49
  4. Step 4: Simplify right side
    371.09x = 181,438.62
  5. Step 5: Solve for x
    x = 181,438.62/371.09
  6. Step 6: Final answer
    x = 488.93

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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.