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Finding the Fourth Proportional to 596.92, 893.40 and 451.84

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Solution

The fourth proportional to 596.92, 893.40 and 451.84 is: 676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.92 : 893.40 = 451.84 : x
  2. Step 2: Convert to fraction form
    596.92/893.40 = 451.84/x
  3. Step 3: Cross multiply
    596.92x = 893.40 × 451.84
  4. Step 4: Simplify right side
    596.92x = 403,673.86
  5. Step 5: Solve for x
    x = 403,673.86/596.92
  6. Step 6: Final answer
    x = 676.26

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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.