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Finding the Fourth Proportional to 596.88, 894.27 and 414.39

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Solution

The fourth proportional to 596.88, 894.27 and 414.39 is: 620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.88 : 894.27 = 414.39 : x
  2. Step 2: Convert to fraction form
    596.88/894.27 = 414.39/x
  3. Step 3: Cross multiply
    596.88x = 894.27 × 414.39
  4. Step 4: Simplify right side
    596.88x = 370,576.55
  5. Step 5: Solve for x
    x = 370,576.55/596.88
  6. Step 6: Final answer
    x = 620.86

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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.