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Finding the Fourth Proportional to 471.75, 651.03 and 306.10

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Solution

The fourth proportional to 471.75, 651.03 and 306.10 is: 422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.75 : 651.03 = 306.10 : x
  2. Step 2: Convert to fraction form
    471.75/651.03 = 306.10/x
  3. Step 3: Cross multiply
    471.75x = 651.03 × 306.10
  4. Step 4: Simplify right side
    471.75x = 199,280.28
  5. Step 5: Solve for x
    x = 199,280.28/471.75
  6. Step 6: Final answer
    x = 422.43

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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.