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Finding the Fourth Proportional to 578.81, 865.96 and 405.77

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Solution

The fourth proportional to 578.81, 865.96 and 405.77 is: 607.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.81 : 865.96 = 405.77 : x
  2. Step 2: Convert to fraction form
    578.81/865.96 = 405.77/x
  3. Step 3: Cross multiply
    578.81x = 865.96 × 405.77
  4. Step 4: Simplify right side
    578.81x = 351,380.59
  5. Step 5: Solve for x
    x = 351,380.59/578.81
  6. Step 6: Final answer
    x = 607.07

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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.