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Finding the Fourth Proportional to 506.41, 759.61 and 232.49

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Solution

The fourth proportional to 506.41, 759.61 and 232.49 is: 348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.41 : 759.61 = 232.49 : x
  2. Step 2: Convert to fraction form
    506.41/759.61 = 232.49/x
  3. Step 3: Cross multiply
    506.41x = 759.61 × 232.49
  4. Step 4: Simplify right side
    506.41x = 176,601.73
  5. Step 5: Solve for x
    x = 176,601.73/506.41
  6. Step 6: Final answer
    x = 348.74

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Double scale
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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.