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Finding the Fourth Proportional to 471.20, 705.64 and 382.64

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Solution

The fourth proportional to 471.20, 705.64 and 382.64 is: 573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.20 : 705.64 = 382.64 : x
  2. Step 2: Convert to fraction form
    471.20/705.64 = 382.64/x
  3. Step 3: Cross multiply
    471.20x = 705.64 × 382.64
  4. Step 4: Simplify right side
    471.20x = 270,006.09
  5. Step 5: Solve for x
    x = 270,006.09/471.20
  6. Step 6: Final answer
    x = 573.02

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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.