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Finding the Fourth Proportional to 555.88, 766.84 and 334.80

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Solution

The fourth proportional to 555.88, 766.84 and 334.80 is: 461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.88 : 766.84 = 334.80 : x
  2. Step 2: Convert to fraction form
    555.88/766.84 = 334.80/x
  3. Step 3: Cross multiply
    555.88x = 766.84 × 334.80
  4. Step 4: Simplify right side
    555.88x = 256,738.03
  5. Step 5: Solve for x
    x = 256,738.03/555.88
  6. Step 6: Final answer
    x = 461.86

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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.