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Finding the Fourth Proportional to 471.37, 650.41 and 296.59

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Solution

The fourth proportional to 471.37, 650.41 and 296.59 is: 409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.37 : 650.41 = 296.59 : x
  2. Step 2: Convert to fraction form
    471.37/650.41 = 296.59/x
  3. Step 3: Cross multiply
    471.37x = 650.41 × 296.59
  4. Step 4: Simplify right side
    471.37x = 192,905.10
  5. Step 5: Solve for x
    x = 192,905.10/471.37
  6. Step 6: Final answer
    x = 409.24

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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.