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Finding the Fourth Proportional to 596.53, 893.55 and 414.28

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Solution

The fourth proportional to 596.53, 893.55 and 414.28 is: 620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.53 : 893.55 = 414.28 : x
  2. Step 2: Convert to fraction form
    596.53/893.55 = 414.28/x
  3. Step 3: Cross multiply
    596.53x = 893.55 × 414.28
  4. Step 4: Simplify right side
    596.53x = 370,179.89
  5. Step 5: Solve for x
    x = 370,179.89/596.53
  6. Step 6: Final answer
    x = 620.56

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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.