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Finding the Fourth Proportional to 649.35, 896.30 and 401.03

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Solution

The fourth proportional to 649.35, 896.30 and 401.03 is: 553.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.35 : 896.30 = 401.03 : x
  2. Step 2: Convert to fraction form
    649.35/896.30 = 401.03/x
  3. Step 3: Cross multiply
    649.35x = 896.30 × 401.03
  4. Step 4: Simplify right side
    649.35x = 359,436.70
  5. Step 5: Solve for x
    x = 359,436.70/649.35
  6. Step 6: Final answer
    x = 553.53

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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.