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Finding the Fourth Proportional to 578.25, 866.60 and 317.87

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Solution

The fourth proportional to 578.25, 866.60 and 317.87 is: 476.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.25 : 866.60 = 317.87 : x
  2. Step 2: Convert to fraction form
    578.25/866.60 = 317.87/x
  3. Step 3: Cross multiply
    578.25x = 866.60 × 317.87
  4. Step 4: Simplify right side
    578.25x = 275,460.22
  5. Step 5: Solve for x
    x = 275,460.22/578.25
  6. Step 6: Final answer
    x = 476.37

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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.