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Finding the Fourth Proportional to 578.80, 796 and 505.16

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Solution

The fourth proportional to 578.80, 796 and 505.16 is: 694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.80 : 796 = 505.16 : x
  2. Step 2: Convert to fraction form
    578.80/796 = 505.16/x
  3. Step 3: Cross multiply
    578.80x = 796 × 505.16
  4. Step 4: Simplify right side
    578.80x = 402,107.36
  5. Step 5: Solve for x
    x = 402,107.36/578.80
  6. Step 6: Final answer
    x = 694.73

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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.