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Finding the Fourth Proportional to 596.67, 893.64 and 414.20

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Solution

The fourth proportional to 596.67, 893.64 and 414.20 is: 620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.67 : 893.64 = 414.20 : x
  2. Step 2: Convert to fraction form
    596.67/893.64 = 414.20/x
  3. Step 3: Cross multiply
    596.67x = 893.64 × 414.20
  4. Step 4: Simplify right side
    596.67x = 370,141.22
  5. Step 5: Solve for x
    x = 370,141.22/596.67
  6. Step 6: Final answer
    x = 620.34

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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.