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Finding the Fourth Proportional to 558.12, 835.97 and 547.05

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Solution

The fourth proportional to 558.12, 835.97 and 547.05 is: 819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.12 : 835.97 = 547.05 : x
  2. Step 2: Convert to fraction form
    558.12/835.97 = 547.05/x
  3. Step 3: Cross multiply
    558.12x = 835.97 × 547.05
  4. Step 4: Simplify right side
    558.12x = 457,314.65
  5. Step 5: Solve for x
    x = 457,314.65/558.12
  6. Step 6: Final answer
    x = 819.38

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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.