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Finding the Fourth Proportional to 555.76, 766.92 and 506.80

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Solution

The fourth proportional to 555.76, 766.92 and 506.80 is: 699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.76 : 766.92 = 506.80 : x
  2. Step 2: Convert to fraction form
    555.76/766.92 = 506.80/x
  3. Step 3: Cross multiply
    555.76x = 766.92 × 506.80
  4. Step 4: Simplify right side
    555.76x = 388,675.06
  5. Step 5: Solve for x
    x = 388,675.06/555.76
  6. Step 6: Final answer
    x = 699.36

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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.