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Finding the Fourth Proportional to 558.72, 770.33 and 416.97

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Solution

The fourth proportional to 558.72, 770.33 and 416.97 is: 574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.72 : 770.33 = 416.97 : x
  2. Step 2: Convert to fraction form
    558.72/770.33 = 416.97/x
  3. Step 3: Cross multiply
    558.72x = 770.33 × 416.97
  4. Step 4: Simplify right side
    558.72x = 321,205.54
  5. Step 5: Solve for x
    x = 321,205.54/558.72
  6. Step 6: Final answer
    x = 574.90

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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.