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Finding the Fourth Proportional to 402.83, 555.93 and 237.09

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Solution

The fourth proportional to 402.83, 555.93 and 237.09 is: 327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.83 : 555.93 = 237.09 : x
  2. Step 2: Convert to fraction form
    402.83/555.93 = 237.09/x
  3. Step 3: Cross multiply
    402.83x = 555.93 × 237.09
  4. Step 4: Simplify right side
    402.83x = 131,805.44
  5. Step 5: Solve for x
    x = 131,805.44/402.83
  6. Step 6: Final answer
    x = 327.20

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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.