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Finding the Fourth Proportional to 578.67, 865.47 and 537.12

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Solution

The fourth proportional to 578.67, 865.47 and 537.12 is: 803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.67 : 865.47 = 537.12 : x
  2. Step 2: Convert to fraction form
    578.67/865.47 = 537.12/x
  3. Step 3: Cross multiply
    578.67x = 865.47 × 537.12
  4. Step 4: Simplify right side
    578.67x = 464,861.25
  5. Step 5: Solve for x
    x = 464,861.25/578.67
  6. Step 6: Final answer
    x = 803.33

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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.