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Finding the Fourth Proportional to 506.92, 699.30 and 320.20

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Solution

The fourth proportional to 506.92, 699.30 and 320.20 is: 441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.92 : 699.30 = 320.20 : x
  2. Step 2: Convert to fraction form
    506.92/699.30 = 320.20/x
  3. Step 3: Cross multiply
    506.92x = 699.30 × 320.20
  4. Step 4: Simplify right side
    506.92x = 223,915.86
  5. Step 5: Solve for x
    x = 223,915.86/506.92
  6. Step 6: Final answer
    x = 441.72

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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.