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Finding the Fourth Proportional to 471.76, 651.04 and 285.22

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Solution

The fourth proportional to 471.76, 651.04 and 285.22 is: 393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.76 : 651.04 = 285.22 : x
  2. Step 2: Convert to fraction form
    471.76/651.04 = 285.22/x
  3. Step 3: Cross multiply
    471.76x = 651.04 × 285.22
  4. Step 4: Simplify right side
    471.76x = 185,687.90
  5. Step 5: Solve for x
    x = 185,687.90/471.76
  6. Step 6: Final answer
    x = 393.61

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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.