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Finding the Fourth Proportional to 506.88, 699.52 and 285.90

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Solution

The fourth proportional to 506.88, 699.52 and 285.90 is: 394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 699.52 = 285.90 : x
  2. Step 2: Convert to fraction form
    506.88/699.52 = 285.90/x
  3. Step 3: Cross multiply
    506.88x = 699.52 × 285.90
  4. Step 4: Simplify right side
    506.88x = 199,992.77
  5. Step 5: Solve for x
    x = 199,992.77/506.88
  6. Step 6: Final answer
    x = 394.56

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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.