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Finding the Fourth Proportional to 506.26, 698.66 and 285.27

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Solution

The fourth proportional to 506.26, 698.66 and 285.27 is: 393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.26 : 698.66 = 285.27 : x
  2. Step 2: Convert to fraction form
    506.26/698.66 = 285.27/x
  3. Step 3: Cross multiply
    506.26x = 698.66 × 285.27
  4. Step 4: Simplify right side
    506.26x = 199,306.74
  5. Step 5: Solve for x
    x = 199,306.74/506.26
  6. Step 6: Final answer
    x = 393.68

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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.