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Finding the Fourth Proportional to 649.22, 972.60 and 576.32

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Solution

The fourth proportional to 649.22, 972.60 and 576.32 is: 863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.22 : 972.60 = 576.32 : x
  2. Step 2: Convert to fraction form
    649.22/972.60 = 576.32/x
  3. Step 3: Cross multiply
    649.22x = 972.60 × 576.32
  4. Step 4: Simplify right side
    649.22x = 560,528.83
  5. Step 5: Solve for x
    x = 560,528.83/649.22
  6. Step 6: Final answer
    x = 863.39

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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.