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Finding the Fourth Proportional to 471.64, 650.80 and 285.04

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Solution

The fourth proportional to 471.64, 650.80 and 285.04 is: 393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.64 : 650.80 = 285.04 : x
  2. Step 2: Convert to fraction form
    471.64/650.80 = 285.04/x
  3. Step 3: Cross multiply
    471.64x = 650.80 × 285.04
  4. Step 4: Simplify right side
    471.64x = 185,504.03
  5. Step 5: Solve for x
    x = 185,504.03/471.64
  6. Step 6: Final answer
    x = 393.32

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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.