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Finding the Fourth Proportional to 471.72, 651.28 and 303.75

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Solution

The fourth proportional to 471.72, 651.28 and 303.75 is: 419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.72 : 651.28 = 303.75 : x
  2. Step 2: Convert to fraction form
    471.72/651.28 = 303.75/x
  3. Step 3: Cross multiply
    471.72x = 651.28 × 303.75
  4. Step 4: Simplify right side
    471.72x = 197,824.67
  5. Step 5: Solve for x
    x = 197,824.67/471.72
  6. Step 6: Final answer
    x = 419.37

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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.