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Finding the Fourth Proportional to 578.40, 798.54 and 391.92

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Solution

The fourth proportional to 578.40, 798.54 and 391.92 is: 541.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.40 : 798.54 = 391.92 : x
  2. Step 2: Convert to fraction form
    578.40/798.54 = 391.92/x
  3. Step 3: Cross multiply
    578.40x = 798.54 × 391.92
  4. Step 4: Simplify right side
    578.40x = 312,963.80
  5. Step 5: Solve for x
    x = 312,963.80/578.40
  6. Step 6: Final answer
    x = 541.09

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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.