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Finding the Fourth Proportional to 596.63, 893.90 and 414.14

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Solution

The fourth proportional to 596.63, 893.90 and 414.14 is: 620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.63 : 893.90 = 414.14 : x
  2. Step 2: Convert to fraction form
    596.63/893.90 = 414.14/x
  3. Step 3: Cross multiply
    596.63x = 893.90 × 414.14
  4. Step 4: Simplify right side
    596.63x = 370,193.21
  5. Step 5: Solve for x
    x = 370,193.21/596.63
  6. Step 6: Final answer
    x = 620.48

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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.