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Finding the Fourth Proportional to 506.58, 699.06 and 285.54

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Solution

The fourth proportional to 506.58, 699.06 and 285.54 is: 394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.58 : 699.06 = 285.54 : x
  2. Step 2: Convert to fraction form
    506.58/699.06 = 285.54/x
  3. Step 3: Cross multiply
    506.58x = 699.06 × 285.54
  4. Step 4: Simplify right side
    506.58x = 199,609.59
  5. Step 5: Solve for x
    x = 199,609.59/506.58
  6. Step 6: Final answer
    x = 394.03

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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.