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Finding the Fourth Proportional to 555.90, 768.18 and 506.46

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Solution

The fourth proportional to 555.90, 768.18 and 506.46 is: 699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.90 : 768.18 = 506.46 : x
  2. Step 2: Convert to fraction form
    555.90/768.18 = 506.46/x
  3. Step 3: Cross multiply
    555.90x = 768.18 × 506.46
  4. Step 4: Simplify right side
    555.90x = 389,052.44
  5. Step 5: Solve for x
    x = 389,052.44/555.90
  6. Step 6: Final answer
    x = 699.86

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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.