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Finding the Fourth Proportional to 558.07, 769.80 and 447.82

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Solution

The fourth proportional to 558.07, 769.80 and 447.82 is: 617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.07 : 769.80 = 447.82 : x
  2. Step 2: Convert to fraction form
    558.07/769.80 = 447.82/x
  3. Step 3: Cross multiply
    558.07x = 769.80 × 447.82
  4. Step 4: Simplify right side
    558.07x = 344,731.84
  5. Step 5: Solve for x
    x = 344,731.84/558.07
  6. Step 6: Final answer
    x = 617.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.