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Finding the Fourth Proportional to 578.16, 798.12 and 381.78

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Solution

The fourth proportional to 578.16, 798.12 and 381.78 is: 527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.16 : 798.12 = 381.78 : x
  2. Step 2: Convert to fraction form
    578.16/798.12 = 381.78/x
  3. Step 3: Cross multiply
    578.16x = 798.12 × 381.78
  4. Step 4: Simplify right side
    578.16x = 304,706.25
  5. Step 5: Solve for x
    x = 304,706.25/578.16
  6. Step 6: Final answer
    x = 527.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.