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Finding the Fourth Proportional to 555.83, 834.29 and 454.36

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Solution

The fourth proportional to 555.83, 834.29 and 454.36 is: 681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.83 : 834.29 = 454.36 : x
  2. Step 2: Convert to fraction form
    555.83/834.29 = 454.36/x
  3. Step 3: Cross multiply
    555.83x = 834.29 × 454.36
  4. Step 4: Simplify right side
    555.83x = 379,061.56
  5. Step 5: Solve for x
    x = 379,061.56/555.83
  6. Step 6: Final answer
    x = 681.97

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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.