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Finding the Fourth Proportional to 558.42, 837.09 and 523.86

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Solution

The fourth proportional to 558.42, 837.09 and 523.86 is: 785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.42 : 837.09 = 523.86 : x
  2. Step 2: Convert to fraction form
    558.42/837.09 = 523.86/x
  3. Step 3: Cross multiply
    558.42x = 837.09 × 523.86
  4. Step 4: Simplify right side
    558.42x = 438,517.97
  5. Step 5: Solve for x
    x = 438,517.97/558.42
  6. Step 6: Final answer
    x = 785.28

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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.