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Finding the Fourth Proportional to 578.14, 866.40 and 382.57

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Solution

The fourth proportional to 578.14, 866.40 and 382.57 is: 573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.14 : 866.40 = 382.57 : x
  2. Step 2: Convert to fraction form
    578.14/866.40 = 382.57/x
  3. Step 3: Cross multiply
    578.14x = 866.40 × 382.57
  4. Step 4: Simplify right side
    578.14x = 331,459.92
  5. Step 5: Solve for x
    x = 331,459.92/578.14
  6. Step 6: Final answer
    x = 573.32

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Why These Related Problems?

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