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Finding the Fourth Proportional to 402.73, 555.84 and 337.21

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Solution

The fourth proportional to 402.73, 555.84 and 337.21 is: 465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.73 : 555.84 = 337.21 : x
  2. Step 2: Convert to fraction form
    402.73/555.84 = 337.21/x
  3. Step 3: Cross multiply
    402.73x = 555.84 × 337.21
  4. Step 4: Simplify right side
    402.73x = 187,433.42
  5. Step 5: Solve for x
    x = 187,433.42/402.73
  6. Step 6: Final answer
    x = 465.41

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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.