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Finding the Fourth Proportional to 420.28, 629.92 and 317.22

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Solution

The fourth proportional to 420.28, 629.92 and 317.22 is: 475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.28 : 629.92 = 317.22 : x
  2. Step 2: Convert to fraction form
    420.28/629.92 = 317.22/x
  3. Step 3: Cross multiply
    420.28x = 629.92 × 317.22
  4. Step 4: Simplify right side
    420.28x = 199,823.22
  5. Step 5: Solve for x
    x = 199,823.22/420.28
  6. Step 6: Final answer
    x = 475.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.