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Finding the Fourth Proportional to 471.14, 650.00 and 284.56

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Solution

The fourth proportional to 471.14, 650.00 and 284.56 is: 392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.14 : 650.00 = 284.56 : x
  2. Step 2: Convert to fraction form
    471.14/650.00 = 284.56/x
  3. Step 3: Cross multiply
    471.14x = 650.00 × 284.56
  4. Step 4: Simplify right side
    471.14x = 184,963.09
  5. Step 5: Solve for x
    x = 184,963.09/471.14
  6. Step 6: Final answer
    x = 392.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.