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Finding the Fourth Proportional to 471.96, 651.18 and 306

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Solution

The fourth proportional to 471.96, 651.18 and 306 is: 422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.96 : 651.18 = 306 : x
  2. Step 2: Convert to fraction form
    471.96/651.18 = 306/x
  3. Step 3: Cross multiply
    471.96x = 651.18 × 306
  4. Step 4: Simplify right side
    471.96x = 199,261.08
  5. Step 5: Solve for x
    x = 199,261.08/471.96
  6. Step 6: Final answer
    x = 422.20

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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.