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Finding the Fourth Proportional to 596.84, 893.58 and 404.12

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Solution

The fourth proportional to 596.84, 893.58 and 404.12 is: 605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.84 : 893.58 = 404.12 : x
  2. Step 2: Convert to fraction form
    596.84/893.58 = 404.12/x
  3. Step 3: Cross multiply
    596.84x = 893.58 × 404.12
  4. Step 4: Simplify right side
    596.84x = 361,113.55
  5. Step 5: Solve for x
    x = 361,113.55/596.84
  6. Step 6: Final answer
    x = 605.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.