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Finding the Fourth Proportional to 596.26, 892.22 and 524.98

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Solution

The fourth proportional to 596.26, 892.22 and 524.98 is: 785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.26 : 892.22 = 524.98 : x
  2. Step 2: Convert to fraction form
    596.26/892.22 = 524.98/x
  3. Step 3: Cross multiply
    596.26x = 892.22 × 524.98
  4. Step 4: Simplify right side
    596.26x = 468,397.66
  5. Step 5: Solve for x
    x = 468,397.66/596.26
  6. Step 6: Final answer
    x = 785.56

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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.