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Finding the Fourth Proportional to 555.57, 766.79 and 334.64

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Solution

The fourth proportional to 555.57, 766.79 and 334.64 is: 461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.57 : 766.79 = 334.64 : x
  2. Step 2: Convert to fraction form
    555.57/766.79 = 334.64/x
  3. Step 3: Cross multiply
    555.57x = 766.79 × 334.64
  4. Step 4: Simplify right side
    555.57x = 256,593.10
  5. Step 5: Solve for x
    x = 256,593.10/555.57
  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.