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Finding the Fourth Proportional to 354.26, 488.96 and 237.75

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Solution

The fourth proportional to 354.26, 488.96 and 237.75 is: 328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.26 : 488.96 = 237.75 : x
  2. Step 2: Convert to fraction form
    354.26/488.96 = 237.75/x
  3. Step 3: Cross multiply
    354.26x = 488.96 × 237.75
  4. Step 4: Simplify right side
    354.26x = 116,249.05
  5. Step 5: Solve for x
    x = 116,249.05/354.26
  6. Step 6: Final answer
    x = 328.15

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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.