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Finding the Fourth Proportional to 471.37, 705.83 and 378.39

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Solution

The fourth proportional to 471.37, 705.83 and 378.39 is: 566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.37 : 705.83 = 378.39 : x
  2. Step 2: Convert to fraction form
    471.37/705.83 = 378.39/x
  3. Step 3: Cross multiply
    471.37x = 705.83 × 378.39
  4. Step 4: Simplify right side
    471.37x = 267,079.96
  5. Step 5: Solve for x
    x = 267,079.96/471.37
  6. Step 6: Final answer
    x = 566.61

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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.