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Finding the Fourth Proportional to 578.75, 798.81 and 392.55

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Solution

The fourth proportional to 578.75, 798.81 and 392.55 is: 541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.75 : 798.81 = 392.55 : x
  2. Step 2: Convert to fraction form
    578.75/798.81 = 392.55/x
  3. Step 3: Cross multiply
    578.75x = 798.81 × 392.55
  4. Step 4: Simplify right side
    578.75x = 313,570.61
  5. Step 5: Solve for x
    x = 313,570.61/578.75
  6. Step 6: Final answer
    x = 541.81

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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.