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Finding the Fourth Proportional to 506.80, 697.84 and 396.16

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Solution

The fourth proportional to 506.80, 697.84 and 396.16 is: 545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.80 : 697.84 = 396.16 : x
  2. Step 2: Convert to fraction form
    506.80/697.84 = 396.16/x
  3. Step 3: Cross multiply
    506.80x = 697.84 × 396.16
  4. Step 4: Simplify right side
    506.80x = 276,456.29
  5. Step 5: Solve for x
    x = 276,456.29/506.80
  6. Step 6: Final answer
    x = 545.49

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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.