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Finding the Fourth Proportional to 471.66, 650.92 and 285.16

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Solution

The fourth proportional to 471.66, 650.92 and 285.16 is: 393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.66 : 650.92 = 285.16 : x
  2. Step 2: Convert to fraction form
    471.66/650.92 = 285.16/x
  3. Step 3: Cross multiply
    471.66x = 650.92 × 285.16
  4. Step 4: Simplify right side
    471.66x = 185,616.35
  5. Step 5: Solve for x
    x = 185,616.35/471.66
  6. Step 6: Final answer
    x = 393.54

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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.