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Finding the Fourth Proportional to 878.36, 1,317.17 and 439.44

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Solution

The fourth proportional to 878.36, 1,317.17 and 439.44 is: 658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.36 : 1,317.17 = 439.44 : x
  2. Step 2: Convert to fraction form
    878.36/1,317.17 = 439.44/x
  3. Step 3: Cross multiply
    878.36x = 1,317.17 × 439.44
  4. Step 4: Simplify right side
    878.36x = 578,814.99
  5. Step 5: Solve for x
    x = 578,814.99/878.36
  6. Step 6: Final answer
    x = 658.98

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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.