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Finding the Fourth Proportional to 506.45, 759.06 and 232.16

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Solution

The fourth proportional to 506.45, 759.06 and 232.16 is: 347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.45 : 759.06 = 232.16 : x
  2. Step 2: Convert to fraction form
    506.45/759.06 = 232.16/x
  3. Step 3: Cross multiply
    506.45x = 759.06 × 232.16
  4. Step 4: Simplify right side
    506.45x = 176,226.14
  5. Step 5: Solve for x
    x = 176,226.14/506.45
  6. Step 6: Final answer
    x = 347.96

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