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Finding the Fourth Proportional to 649.96, 896.47 and 401.36

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Solution

The fourth proportional to 649.96, 896.47 and 401.36 is: 553.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.96 : 896.47 = 401.36 : x
  2. Step 2: Convert to fraction form
    649.96/896.47 = 401.36/x
  3. Step 3: Cross multiply
    649.96x = 896.47 × 401.36
  4. Step 4: Simplify right side
    649.96x = 359,801.71
  5. Step 5: Solve for x
    x = 359,801.71/649.96
  6. Step 6: Final answer
    x = 553.58

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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.