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Finding the Fourth Proportional to 471.79, 650.05 and 316.27

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Solution

The fourth proportional to 471.79, 650.05 and 316.27 is: 435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.79 : 650.05 = 316.27 : x
  2. Step 2: Convert to fraction form
    471.79/650.05 = 316.27/x
  3. Step 3: Cross multiply
    471.79x = 650.05 × 316.27
  4. Step 4: Simplify right side
    471.79x = 205,591.31
  5. Step 5: Solve for x
    x = 205,591.31/471.79
  6. Step 6: Final answer
    x = 435.77

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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.