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Finding the Fourth Proportional to 596.72, 893.52 and 412.19

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Solution

The fourth proportional to 596.72, 893.52 and 412.19 is: 617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.72 : 893.52 = 412.19 : x
  2. Step 2: Convert to fraction form
    596.72/893.52 = 412.19/x
  3. Step 3: Cross multiply
    596.72x = 893.52 × 412.19
  4. Step 4: Simplify right side
    596.72x = 368,300.01
  5. Step 5: Solve for x
    x = 368,300.01/596.72
  6. Step 6: Final answer
    x = 617.21

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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.