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Finding the Fourth Proportional to 506.36, 757.80 and 321.17

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Solution

The fourth proportional to 506.36, 757.80 and 321.17 is: 480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.36 : 757.80 = 321.17 : x
  2. Step 2: Convert to fraction form
    506.36/757.80 = 321.17/x
  3. Step 3: Cross multiply
    506.36x = 757.80 × 321.17
  4. Step 4: Simplify right side
    506.36x = 243,378.84
  5. Step 5: Solve for x
    x = 243,378.84/506.36
  6. Step 6: Final answer
    x = 480.65

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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.