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Finding the Fourth Proportional to 578.76, 799.02 and 392.52

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Solution

The fourth proportional to 578.76, 799.02 and 392.52 is: 541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.76 : 799.02 = 392.52 : x
  2. Step 2: Convert to fraction form
    578.76/799.02 = 392.52/x
  3. Step 3: Cross multiply
    578.76x = 799.02 × 392.52
  4. Step 4: Simplify right side
    578.76x = 313,631.33
  5. Step 5: Solve for x
    x = 313,631.33/578.76
  6. Step 6: Final answer
    x = 541.90

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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.