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Finding the Fourth Proportional to 506.92, 759 and 433.60

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Solution

The fourth proportional to 506.92, 759 and 433.60 is: 649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.92 : 759 = 433.60 : x
  2. Step 2: Convert to fraction form
    506.92/759 = 433.60/x
  3. Step 3: Cross multiply
    506.92x = 759 × 433.60
  4. Step 4: Simplify right side
    506.92x = 329,102.40
  5. Step 5: Solve for x
    x = 329,102.40/506.92
  6. Step 6: Final answer
    x = 649.22

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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.