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Finding the Fourth Proportional to 558.80, 836.92 and 546.64

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Solution

The fourth proportional to 558.80, 836.92 and 546.64 is: 818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.80 : 836.92 = 546.64 : x
  2. Step 2: Convert to fraction form
    558.80/836.92 = 546.64/x
  3. Step 3: Cross multiply
    558.80x = 836.92 × 546.64
  4. Step 4: Simplify right side
    558.80x = 457,493.95
  5. Step 5: Solve for x
    x = 457,493.95/558.80
  6. Step 6: Final answer
    x = 818.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.