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Finding the Fourth Proportional to 471.74, 651.08 and 324.26

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Solution

The fourth proportional to 471.74, 651.08 and 324.26 is: 447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.74 : 651.08 = 324.26 : x
  2. Step 2: Convert to fraction form
    471.74/651.08 = 324.26/x
  3. Step 3: Cross multiply
    471.74x = 651.08 × 324.26
  4. Step 4: Simplify right side
    471.74x = 211,114.32
  5. Step 5: Solve for x
    x = 211,114.32/471.74
  6. Step 6: Final answer
    x = 447.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.