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Finding the Fourth Proportional to 471.52, 651 and 324.10

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Solution

The fourth proportional to 471.52, 651 and 324.10 is: 447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.52 : 651 = 324.10 : x
  2. Step 2: Convert to fraction form
    471.52/651 = 324.10/x
  3. Step 3: Cross multiply
    471.52x = 651 × 324.10
  4. Step 4: Simplify right side
    471.52x = 210,989.10
  5. Step 5: Solve for x
    x = 210,989.10/471.52
  6. Step 6: Final answer
    x = 447.47

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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.