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Finding the Fourth Proportional to 649.36, 896.41 and 383.76

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Solution

The fourth proportional to 649.36, 896.41 and 383.76 is: 529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.36 : 896.41 = 383.76 : x
  2. Step 2: Convert to fraction form
    649.36/896.41 = 383.76/x
  3. Step 3: Cross multiply
    649.36x = 896.41 × 383.76
  4. Step 4: Simplify right side
    649.36x = 344,006.30
  5. Step 5: Solve for x
    x = 344,006.30/649.36
  6. Step 6: Final answer
    x = 529.76

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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.