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Finding the Fourth Proportional to 555.66, 766.77 and 331.84

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Solution

The fourth proportional to 555.66, 766.77 and 331.84 is: 457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.66 : 766.77 = 331.84 : x
  2. Step 2: Convert to fraction form
    555.66/766.77 = 331.84/x
  3. Step 3: Cross multiply
    555.66x = 766.77 × 331.84
  4. Step 4: Simplify right side
    555.66x = 254,449.28
  5. Step 5: Solve for x
    x = 254,449.28/555.66
  6. Step 6: Final answer
    x = 457.93

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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.