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Finding the Fourth Proportional to 471.27, 650.33 and 284.77

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Solution

The fourth proportional to 471.27, 650.33 and 284.77 is: 392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.27 : 650.33 = 284.77 : x
  2. Step 2: Convert to fraction form
    471.27/650.33 = 284.77/x
  3. Step 3: Cross multiply
    471.27x = 650.33 × 284.77
  4. Step 4: Simplify right side
    471.27x = 185,191.27
  5. Step 5: Solve for x
    x = 185,191.27/471.27
  6. Step 6: Final answer
    x = 392.96

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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.