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Finding the Fourth Proportional to 380.92, 570.43 and 359.05

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Solution

The fourth proportional to 380.92, 570.43 and 359.05 is: 537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.92 : 570.43 = 359.05 : x
  2. Step 2: Convert to fraction form
    380.92/570.43 = 359.05/x
  3. Step 3: Cross multiply
    380.92x = 570.43 × 359.05
  4. Step 4: Simplify right side
    380.92x = 204,812.89
  5. Step 5: Solve for x
    x = 204,812.89/380.92
  6. Step 6: Final answer
    x = 537.68

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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.