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Finding the Fourth Proportional to 555.29, 833.07 and 311.97

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Solution

The fourth proportional to 555.29, 833.07 and 311.97 is: 468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.29 : 833.07 = 311.97 : x
  2. Step 2: Convert to fraction form
    555.29/833.07 = 311.97/x
  3. Step 3: Cross multiply
    555.29x = 833.07 × 311.97
  4. Step 4: Simplify right side
    555.29x = 259,892.85
  5. Step 5: Solve for x
    x = 259,892.85/555.29
  6. Step 6: Final answer
    x = 468.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.